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Journal articles on the topic 'Arithmetic Statistical Convergence'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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1

Huban, Mualla, and Mehmet Gurdal. "On invariant arithmetic statistically convergence via weighted density." Ilirias Journal of Mathematics 9, no. 1 (2021): 23–34. http://dx.doi.org/10.54379/ijm-2021-1-2.

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In this paper, our concern is to introduce the concepts of invariant arithmetic convergence, invariant arithmetic statistically convergence and lacunary invariant arithmetic statistically convergence using weighted density via Orlicz function φe. Finally, we give some relations between lacunary invariant arithmetic statistical φe-convergence and invariant arithmetic statistical φe-convergence via weighted density

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Huban, Mualla, and Mehmet Gurdal. "On invariant arithmetic statistically convergence via weighted density." Ilirias Journal of Mathematics 9, no. 1 (2021): 23–34. http://dx.doi.org/10.54379/ijm-2021-9-2.

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In this paper, our concern is to introduce the concepts of invariant arithmetic convergence, invariant arithmetic statistically convergence and lacunary invariant arithmetic statistically convergence using weighted density via Orlicz function φe. Finally, we give some relations between lacunary invariant arithmetic statistical φe-convergence and invariant arithmetic statistical φe-convergence via weighted density.

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3

Yaying, Taja, and Bipan Hazarika. "Lacunary Arithmetic Statistical Convergence." National Academy Science Letters 43, no. 6 (2020): 547–51. http://dx.doi.org/10.1007/s40009-020-00910-6.

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A. Esi, N. Subramanian, and Ayten Esi. "Arithmetic rough statistical convergence for triple sequences." ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 17, no. 3 (2019): 265–77. http://dx.doi.org/10.30948/afmi.2019.17.3.265.

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Totur, Ümit, and İbrahim Çanak. "Tauberian theorems for the statistical convergence and the statistical (C,1,1) summability." Filomat 32, no. 1 (2018): 101–16. http://dx.doi.org/10.2298/fil1801101t.

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Every P-convergent double sequence is statistically convergent and every bounded statistically convergent sequence is statistical (C,1,1) summable. The converse of these implications are not always true. Theorems on which conditioned converses are searched are known as Tauberian theorems. Inspired by the convergence to zero of the difference sequence between a sequence and its arithmetic means in the single sequence case, we obtain Tauberian theorems for the statistical convergence and statistical (C,1,1) summability method by imposing some conditions on the difference sequence between a doubl

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M., M. Karagama, and B. Ladan F. "ON LACUNARY ARITHMETIC STATISTICAL CONTINUITY FOR DOUBLE SEQUENCES." International Journal of Research - Granthaalayah 5, no. 11 (2017): 22–26. https://doi.org/10.5281/zenodo.1065890.

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Saeed K, Muhammed, Krishnendu Remesh, Santhosh George, Jidesh Padikkal, and Ioannis K. Argyros. "Local Convergence of Traub’s Method and Its Extensions." Fractal and Fractional 7, no. 1 (2023): 98. http://dx.doi.org/10.3390/fractalfract7010098.

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In this article, we examine the local convergence analysis of an extension of Newton’s method in a Banach space setting. Traub introduced the method (also known as the Arithmetic-Mean Newton’s Method and Weerakoon and Fernando method) with an order of convergence of three. All the previous works either used higher-order Taylor series expansion or could not derive the desired order of convergence. We studied the local convergence of Traub’s method and two of its modifications and obtained the convergence order for these methods without using Taylor series expansion. The radii of convergence, ba

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BOLTE, JENS. "SOME STUDIES ON ARITHMETICAL CHAOS IN CLASSICAL AND QUANTUM MECHANICS." International Journal of Modern Physics B 07, no. 27 (1993): 4451–553. http://dx.doi.org/10.1142/s0217979293003759.

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Several aspects of classical and quantum mechanics applied to a class of strongly chaotic systems are studied. The latter consists of single particles moving without external forces on surfaces of constant negative Gaussian curvature whose corresponding fundamental groups are supplied with an arithmetic structure. It is shown that the arithmetical features of the considered systems lead to exceptional properties of the corresponding spectra of lengths of closed geodesics (periodic orbits). The most significant one is an exponential growth of degeneracies in these geodesic length spectra. Furth

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Deb, Rajat, and Joydeep Das. "IFRSs Convergence and Expectation Gap: Vindication from Practitioners." Metamorphosis: A Journal of Management Research 17, no. 2 (2018): 86–99. http://dx.doi.org/10.1177/0972622518816211.

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The study has attempted to measure the Indian practitioners’ expectation gaps about IFRSs convergence. Based on literature, two hypotheses, a conceptual model and a questionnaire, have been formed. Through protocol interviews followed by a pretest, the questionnaire has been tested (reliability and validity) before conducting the online survey. A total of 159 sample responses has been assessed to measure the gaps on four major parameters. For assaying the gaps, the arithmetic and weighted arithmetic mean differences and paired sample t-test have been applied, which have indicated the likely pe

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10

Eker, Erdal, Davut Izci, Serdar Ekinci, Mohammad Shukri Salman, and Mostafa Rashdan. "Performance evaluation of logarithmic spiral search and selective mechanism based arithmetic optimizer for parameter extraction of different photovoltaic cell models." PLOS ONE 19, no. 7 (2024): e0308110. http://dx.doi.org/10.1371/journal.pone.0308110.

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The imperative shift towards renewable energy sources, driven by environmental concerns and climate change, has cast a spotlight on solar energy as a clean, abundant, and cost-effective solution. To harness its potential, accurate modeling of photovoltaic (PV) systems is crucial. However, this relies on estimating elusive parameters concealed within PV models. This study addresses these challenges through innovative parameter estimation by introducing the logarithmic spiral search and selective mechanism-based arithmetic optimization algorithm (Ls-AOA). Ls-AOA is an improved version of the ari

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11

Ibrahim, Rehab Ali, Laith Abualigah, Ahmed A. Ewees, et al. "An Electric Fish-Based Arithmetic Optimization Algorithm for Feature Selection." Entropy 23, no. 9 (2021): 1189. http://dx.doi.org/10.3390/e23091189.

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With the widespread use of intelligent information systems, a massive amount of data with lots of irrelevant, noisy, and redundant features are collected; moreover, many features should be handled. Therefore, introducing an efficient feature selection (FS) approach becomes a challenging aim. In the recent decade, various artificial methods and swarm models inspired by biological and social systems have been proposed to solve different problems, including FS. Thus, in this paper, an innovative approach is proposed based on a hybrid integration between two intelligent algorithms, Electric fish o

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12

Rajendran, Shankar, Ganesh N., Robert Čep, Narayanan R. C., Subham Pal, and Kanak Kalita. "A Conceptual Comparison of Six Nature-Inspired Metaheuristic Algorithms in Process Optimization." Processes 10, no. 2 (2022): 197. http://dx.doi.org/10.3390/pr10020197.

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In recent years, several high-performance nature-inspired metaheuristic algorithms have been proposed. It is important to study and compare the convergence, computational burden and statistical significance of these metaheuristics to aid future developments. This study focuses on six recent metaheuristics, namely, ant lion optimization (ALO), arithmetic optimization algorithm (AOA), dragonfly algorithm (DA), grey wolf optimizer (GWO), salp swarm algorithm (SSA) and whale optimization algorithm (WOA). Optimization of an industrial machining application is tackled in this paper. The optimal mach

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Çetinkaya, Mehmet Bahadır, and Sevim Adige. "Retinal Vessel Segmentation Using Math-Inspired Metaheuristic Algorithms." Applied Sciences 15, no. 10 (2025): 5693. https://doi.org/10.3390/app15105693.

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Artificial intelligence-based biomedical image processing has become an important area of research in recent decades. In this context, one of the most important problems encountered is the close contrast values between the pixels to be segmented in the image and the remaining pixels. Among the crucial advantages provided by metaheuristic algorithms, they are generally able to provide better performances in the segmentation of biomedical images due to their randomized and gradient-free global search abilities. Math-inspired metaheuristic algorithms can be considered to be one of the most robust

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14

Ma, Lin, Fuheng Ma, Wenhan Cao, et al. "A Multi-Strategy Improved Sooty Tern Optimization Algorithm for Concrete Dam Parameter Inversion." Water 16, no. 1 (2023): 119. http://dx.doi.org/10.3390/w16010119.

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A original strategy for optimizing the inversion of concrete dam parameters based on the multi-strategy improved Sooty Tern Optimization algorithm (MSSTOA) is proposed to address the issues of low efficiency, low accuracy, and poor optimizing performance. First, computational strategies to improve the traditional Sooty tern algorithm, such as chaos mapping to improve the initial position of the population, a new nonlinear convergence factor, the LIMIT threshold method, and Gaussian perturbation to update the optimal individual position, are adopted to enhance its algorithmic optimization seeki

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15

Nielsen, Frank. "Fast Proxy Centers for the Jeffreys Centroid: The Jeffreys–Fisher–Rao Center and the Gauss–Bregman Inductive Center." Entropy 26, no. 12 (2024): 1008. http://dx.doi.org/10.3390/e26121008.

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The symmetric Kullback–Leibler centroid, also called the Jeffreys centroid, of a set of mutually absolutely continuous probability distributions on a measure space provides a notion of centrality which has proven useful in many tasks, including information retrieval, information fusion, and clustering. However, the Jeffreys centroid is not available in closed form for sets of categorical or multivariate normal distributions, two widely used statistical models, and thus needs to be approximated numerically in practice. In this paper, we first propose the new Jeffreys–Fisher–Rao center defined a

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16

Bendikov, Alexander, and Wojciech Cygan. "On the rate of convergence in the central limit theorem for hierarchical Laplacians." ESAIM: Probability and Statistics 23 (2019): 68–81. http://dx.doi.org/10.1051/ps/2018010.

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Let (X,d) be a proper ultrametric space. Given a measuremonXand a functionB↦C(B) defined on the set of all non-singleton ballsBwe consider the hierarchical LaplacianL=LC. Choosing a sequence {ε(B)} of i.i.d. random variables we define the perturbed functionC(B,ω) and the perturbed hierarchical LaplacianLω=LC(ω). We study the arithmetic means λ̅(ω) of theLω-eigenvalues. Under certain assumptions the normalized arithmetic means (λ̅−Eλ̅) ∕ σ(λ̅) converge in law to the standard normal distribution. In this note we study convergence in the total variation distance and estimate the rate of convergen

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17

Alshimmeri, Ahmad Jabbar Hussain, Esraa Kamal Jaafar, Lina Abdulsalam Shihab, Hadi Naser Ghadhban Al-Maliki, Ali Al-Balhawi, and Binsheng Zhang. "Structural Efficiency of Non-Prismatic Hollow Reinforced Concrete Beams Retrofitted with CFRP Sheets." Buildings 12, no. 2 (2022): 109. http://dx.doi.org/10.3390/buildings12020109.

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Non-prismatic reinforced concrete (RC) beams are widely used for various practical purposes, including enhancing architectural aesthetics and increasing the overall thickness in the support area above the column, which gives high assurance to services that this will not result in the distortion of construction features and can reduce heights. The hollow sections (recess) can also be used for the maintenance of large structural sections and the safe passage of utility lines of water, gas, telecommunications, electricity, etc. They are generally used in large and complex civil engineering works

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18

Ніна Антонівна Яремчук and Ольга Юріївна Редьога. "THE PROCEDURES AND OPERATIONS USED IN DETERMINING THE QUALITY OF SOFTWARE." MECHANICS OF GYROSCOPIC SYSTEMS, no. 27 (October 6, 2014): 19–26. http://dx.doi.org/10.20535/0203-377127201437909.

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The rapid development of information technology has led to the development of methods and tools to build software of varying complexity and for different applications. Increased confidence in the software and their ability to perform more complex functions increases, in turn, is responsible for performing these functions. This increases the interest of developers and users of software to analyze their quality, to assess the level which is necessary to apply the procedure of measuring, monitoring, evaluation, comparison and preference. This allows not only to identify and predict the level of q

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19

Hwang, Hsien-Kuei. "Asymptotics of poisson approximation to random discrete distributions: an analytic approach." Advances in Applied Probability 31, no. 02 (1999): 448–91. http://dx.doi.org/10.1017/s0001867800009198.

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A general analytic scheme for Poisson approximation to discrete distributions is studied in which the asymptotic behaviours of the generalized total variation, Fortet-Mourier (or Wasserstein), Kolmogorov and Matusita (or Hellinger) distances are explicitly characterized. Applications of this result include many number-theoretic functions and combinatorial structures. Our approach differs from most of the existing ones in the literature and is easily amended for other discrete approximations; arithmetic and combinatorial examples for Bessel approximation are also presented. A unified approach i

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20

Korolev, Victor. "Some Properties of Univariate and Multivariate Exponential Power Distributions and Related Topics." Mathematics 8, no. 11 (2020): 1918. http://dx.doi.org/10.3390/math8111918.

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In the paper, a survey of the main results concerning univariate and multivariate exponential power (EP) distributions is given, with main attention paid to mixture representations of these laws. The properties of mixing distributions are considered and some asymptotic results based on mixture representations for EP and related distributions are proved. Unlike the conventional analytical approach, here the presentation follows the lines of a kind of arithmetical approach in the space of random variables or vectors. Here the operation of scale mixing in the space of distributions is replaced wi

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21

Dos Santos, Stéphanie, Laura Herbreteau, Christophe Nicol, et al. "CKS1B/CDKN2C Copy Number Ratio : A New Predictor of Survival in Transplant- and Non Transplant-Eligible Multiple Myeloma Patients." Blood 132, Supplement 1 (2018): 2017. http://dx.doi.org/10.1182/blood-2018-99-118229.

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Abstract BACKGROUND Current molecular risk stratification of multiple myeloma (MM), based on the presence of t(4 ;14) and 17p deletion, cannot fully explain treatment outcome heterogeneity, as other features also predict prognosis. About 30% of genetic events map to chromosome 1 : most upregulated genes to 1q and most downregulated ones to 1p. CKS1B gains on 1q21 and CDKN2C loss on 1p32, both favoring cell cycle progression, portended impaired outcome in many but not all studies. Based on their recurrence and considering their functional convergence, we hypothesized CKS1B/CDKN2C copy number ra

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22

GÖNÜL BİLGİN, Nazmiye. "Arithmetic statistically convergent on neutrosophic normed spaces." Gümüşhane Üniversitesi Fen Bilimleri Enstitüsü Dergisi, January 20, 2023. http://dx.doi.org/10.17714/gumusfenbil.1180772.

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This work is concerned with several important different types of convergence that will be described on neutrosophic normed spaces. In the study, arithmetic convergence was combined with different types of statistical convergence and then integrated into the structure of neutrophic spaces established through the membership function. For this purpose, in the neutrophic normed space, firstly, some important definitions that can be established with lacunary sequence, ideal structures and arithmetic convergent, arithmetic statistical convergence concepts are given, and then some relationships betwe

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23

Mehmood, Khizer, Naveed Ishtiaq Chaudhary, Zeshan Aslam Khan, Khalid Mehmood Cheema, and Muhammad Asif Zahoor Raja. "Design of quantum computing-based avain navigation optimization algorithm for parameter estimation of input nonlinear output error model with key term separation." Modern Physics Letters A, March 28, 2025. https://doi.org/10.1142/s0217732325500191.

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In recent years, quantum computing has been applied in optimizing different challenging systems in the domains of science and engineering. This work reflects the identification of the input nonlinear output error (I-NOE) model by using the Quantum-based avian navigation optimizer algorithm (QANA). QANA is an evolutionary method inspired by the precision navigation of migratory birds. The assessment of QANA is achieved on various iterations, population, and noise levels. The complexity, statistical, and convergence investigation of QANA with arithmetic optimization algorithm (AOA), coati optimi

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24

Sahay, Shuvam, Ramanaiah Upputuri, Pooja Kumari, and Niranjan Kumar. "An enhanced arithmetic optimization algorithm for optimal control of reactive power." Optimal Control Applications and Methods, October 3, 2023. http://dx.doi.org/10.1002/oca.3061.

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AbstractIn this article, an enhanced arithmetic optimization algorithm (EAOA) is utilized to resolve the optimal reactive power dispatch problem (ORPD) of power plants, which is a non‐linear, non‐smooth, complex optimization problem. Typically, it is formulated as a constrained optimal power flow problem. This paper utilizes the gamma distribution to generate initial random solutions, which improves the accuracy of the arithmetic optimization algorithm (AOA). The original mode of deviation of math optimizer accelerated (MOA) is replaced with the improved pattern of change in the prey's energy

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25

Raturi, Ajay Swaroop, Raj Kumar Jarial, and Yog Raj Sood. "Modified GWO algorithm-based optimal power flow analysis integrated with renewable energy sources and plug-in electric vehicles." Wind Engineering, May 23, 2025. https://doi.org/10.1177/0309524x251345549.

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The increased integration of renewable energy sources (RESs) and plug-in electric vehicles (PEVs) into power systems brings new challenges in optimal power flow (OPF) management. These challenges arise primarily due to the intermittent nature of RESs and the unpredictable charging/discharging patterns of PEVs. As power systems transition towards low-carbon and decentralized power networks, achieving efficient and cost-effective OPF solutions has become a critical priority. Standard optimization algorithms like particle swarm optimization, grey wolf optimization suffer from premature convergenc

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26

Magagula, Zwelakhe, Jean-Claude Malela-Majika, Schalk William Human, Philippe Castagliola, Kashinath Chatterjee, and Christos Koukouvinos. "Closed-form expressions of the run-length distribution of the nonparametric double sampling precedence monitoring scheme." Computational Statistics, April 12, 2024. http://dx.doi.org/10.1007/s00180-024-01488-z.

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AbstractA significant challenge in statistical process monitoring (SPM) is to find exact and closed-form expressions (CFEs) (i.e. formed with constants, variables and a finite set of essential functions connected by arithmetic operations and function composition) for the run-length properties such as the average run-length ($$ARL$$ ARL ), the standard deviation of the run-length ($$SDRL$$ SDRL ), and the percentiles of the run-length ($$PRL$$ PRL ) of nonparametric monitoring schemes. Most of the properties of these schemes are usually evaluated using simulation techniques. Although simulation

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27

Izci, Davut, Serdar Ekinci, and Baran Hekimoğlu. "A novel modified Lévy flight distribution algorithm to tune proportional, integral, derivative and acceleration controller on buck converter system." Transactions of the Institute of Measurement and Control, August 18, 2021, 014233122110365. http://dx.doi.org/10.1177/01423312211036591.

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In this paper, an optimal proportional, integral, derivative and acceleration (PIDA) controller design based on Bode’s ideal reference model and a novel modified Lévy flight distribution (mLFD) algorithm is proposed for buck converter system. The modification of the original Lévy flight distribution (LFD) algorithm was achieved by improving exploration and exploitation capabilities of the algorithm through incorporation of opposition-based learning mechanism and hybridizing with simulated annealing algorithm, respectively. The modified algorithm was used to tune the gains of the PIDA controlle

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28

Li, Shuzhen, Haiquan Deng, Lianjian Jiang, Haibo Liang, Jianchao Sun, and Youjia Xu. "The femoral anterior tangent line could serve as a reliable alternative reference axis for distal femoral rotational alignment in total knee arthroplasty: an MRI-based study." Frontiers in Surgery 11 (March 14, 2024). http://dx.doi.org/10.3389/fsurg.2024.1363551.

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BackgroundThis study aimed to evaluate the reference value of the femoral anterior tangent (FAT) line as a guidance of distal femoral rotation on magnetic resonance images (MRI).MethodsWe retrospectively included 81 patients (106 knees) diagnosed as ailing from primary knee osteoarthritis. The indirect rotational axes including the FAT line, the perpendicular line to the anteroposterior axis (pAPA), and the posterior condylar axis (PCA) were identified on MRI, and their angles related to the clinical transepicondylar axis (cTEA) or surgical transepicondylar axis (sTEA) were measured. The patie

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29

Pal, Subham, Kanak Kalita, and Salil Haldar. "Comparison of nature‐inspired algorithms in finite element‐based metaheuristic optimisation of laminated shells." Expert Systems, May 14, 2024. http://dx.doi.org/10.1111/exsy.13620.

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AbstractThis work presents a unique technique for optimising composite laminates used as structural components, which is critical for situations where failure might result in disastrous effects. Unlike traditional surrogate‐based optimisation approaches, this methodology combines the accurate modelling capabilities of finite element (FE) analysis with the iterative refining capacity of metaheuristic algorithms. By combining these two methodologies, our method intends to improve the design process of laminated shell structures, assuring robustness and dependability is crucial. Compared to exist

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30

Li, Xu-Dong, Jie-Sheng Wang, Wen-Kuo Hao, Hao-Ming Song, and Xiao-Rui Zhao. "Lorentz chaotic trigonometric function pedigree based arithmetic optimization algorithm." Journal of Intelligent & Fuzzy Systems, August 30, 2022, 1–33. http://dx.doi.org/10.3233/jifs-221098.

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With the increasing complexity and difficulty of numerical optimization problems in the real world, many efficient meta-heuristic optimization methods have been proposed to solve these problems. The arithmetic optimization algorithm (AOA) design is inspired by the distribution behavior of the main arithmetic operators in mathematics, including multiplication (M), division (D), subtraction (S) and addition (A). In order to improve the global search ability and local development ability of the AOA, the Lorentz triangle search variable step coefficient was proposed based on the broad-spectrum tri

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31

Bourgain, Jean, Mariusz Mirek, Elias M. Stein, and James Wright. "On a multi-parameter variant of the Bellow–Furstenberg problem." Forum of Mathematics, Pi 11 (2023). http://dx.doi.org/10.1017/fmp.2023.21.

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Abstract We prove convergence in norm and pointwise almost everywhere on $L^p$ , $p\in (1,\infty )$ , for certain multi-parameter polynomial ergodic averages by establishing the corresponding multi-parameter maximal and oscillation inequalities. Our result, in particular, gives an affirmative answer to a multi-parameter variant of the Bellow–Furstenberg problem. This paper is also the first systematic treatment of multi-parameter oscillation semi-norms which allows an efficient handling of multi-parameter pointwise convergence problems with arithmetic features. The methods of proof of our main

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Zhu, Xuemin, Sheng Liu, Xuelin Zhu, and Xiaoming You. "Enhancing sparrow search algorithm with hybrid multi-strategy and its engineering applications." Journal of Intelligent & Fuzzy Systems, July 12, 2023, 1–32. http://dx.doi.org/10.3233/jifs-231114.

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An enhancing sparrow optimization algorithm with hybrid multi-strategy (EGLTA-SSA) is proposed, to improve the defects of the sparrow search algorithm (SSA), which is easy to fall into local optimum. Firstly, the elite backward learning strategy is introduced to initialize the sparrow population, to generate high-quality initial solutions. Secondly, the leader position is updated by fusing multi-strategy mechanisms. On one hand, the high distributivity of arithmetic optimization algorithm operators are used to deflate the target position, and enhance the ability of SSA to jump out of the local

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