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Journal articles on the topic 'Generalized-K'

Author: Grafiati

Published: 4 June 2025

Last updated: 1 August 2025

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1

Zuo, Kezheng, Yu Li, and Abdullah Alazemi. "Further characterizations of k-generalized projectors and k-hypergeneralized projectors." Filomat 37, no. 16 (2023): 5347–59. http://dx.doi.org/10.2298/fil2316347z.

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The paper focuses on the classes of the k-generalized and k-hypergeneralized projectors. Several original features of these classes are identified and new properties are characterized. We present some relations between k-generalized and k-hypergeneralized projectors that generalize appropriate relations between generalized and hypergeneralized projectors given in [Further properties of generalized and hypergeneralized projectors, Linear Algebra and its Applications, 389 (2004) 295-303] and [Further results on generalized and hypergeneralized projectors, Linear Algebra and its Applications, 429

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2

Qi, Feng, and Kottakkaran Nisar. "Some integral transforms of the generalized k-Mittag-Leffler function." Publications de l'Institut Math?matique (Belgrade) 106, no. 120 (2019): 125–33. http://dx.doi.org/10.2298/pim1920125q.

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We generalize the notion ?k-Mittag-Leffler function?, establish some integral transforms of the generalized k-Mittag-Leffler function, and derive several special and known conclusions in terms of the generalized Wright function and the generalized k-Wright function.

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3

Kaya, Ahmet, and Hayrullah Özimamoğlu. "On a new class of the generalized Gauss k-Pell numbers and their polynomials." Notes on Number Theory and Discrete Mathematics 28, no. 4 (2022): 593–602. http://dx.doi.org/10.7546/nntdm.2022.28.4.593-602.

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In this article, we generalize the well-known Gauss Pell numbers and refer to them as generalized Gauss k-Pell numbers. There are relationships discovered between the class of generalized Gauss k-Pell numbers and the typical Gauss Pell numbers. Also, we generalize the known Gauss Pell polynomials, and call such polynomials as the generalized Gauss k-Pell polynomials. We obtain relations between the class of the generalized Gauss k-Pell polynomials and the typical Gauss Pell polynomials. Furthermore, we provide matrices for the novel generalizations of these numbers and polynomials. After that,

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4

ÖZİMAMOĞLU, Hayrullah, and Ahmet KAYA. "On a new family of the generalized Gaussian k-Pell-Lucas numbers and their polynomials." Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 72, no. 2 (2023): 407–16. http://dx.doi.org/10.31801/cfsuasmas.1138441.

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In this paper, we generalize the known Gaussian Pell-Lucas numbers, and call such numbers as the generalized Gaussian k-Pell-Lucas numbers. We obtain relations between the family of the generalized Gaussian k-Pell-Lucas numbers and the known Gaussian Pell-Lucas numbers. We generalize the known Gaussian Pell-Lucas polynomials, and call such polynomials as the generalized Gaussian k-Pell-Lucas polynomials. We obtain relations between the family of the generalized Gaussian k-Pell-Lucas polynomials and the known Gaussian Pell-Lucas polynomials. In addition, we present the new generalizations of th

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5

Herzog, Jonathan, Christopher McLaren, and Anant P. Godbole. "Generalized k-matches." Statistics & Probability Letters 38, no. 2 (1998): 167–75. http://dx.doi.org/10.1016/s0167-7152(97)00169-7.

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6

Sabourin, Sindi. "Generalized k-Configurations." Canadian Journal of Mathematics 57, no. 2 (2005): 400–415. http://dx.doi.org/10.4153/cjm-2005-017-2.

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AbstractIn this paper, we find configurations of points in n-dimensional projective space (Pn) which simultaneously generalize both k-configurations and reduced 0-dimensional complete intersections. Recall that k-configurations in P2 are disjoint unions of distinct points on lines and in Pn are inductively disjoint unions of k-configurations on hyperplanes, subject to certain conditions. Furthermore, the Hilbert function of a k-configuration is determined from those of the smaller k-configurations. We call our generalized constructions kD-configurations, where D = {d1, … , dr} (a set of r posi

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7

Taştan, Merve, Engin Özkan, and Anthony G. Shannon. "The generalized k-Fibonacci polynomials and generalized k-Lucas polynomials." Notes on Number Theory and Discrete Mathematics 27, no. 2 (2021): 148–58. http://dx.doi.org/10.7546/nntdm.2021.27.2.148-158.

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In this paper, we define new families of Generalized Fibonacci polynomials and Generalized Lucas polynomials and develop some elegant properties of these families. We also find the relationships between the family of the generalized k-Fibonacci polynomials and the known generalized Fibonacci polynomials. Furthermore, we find new generalizations of these families and the polynomials in matrix representation. Then we establish Cassini’s Identities for the families and their polynomials. Finally, we suggest avenues for further research.

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8

Tasyurdu, Yasemin. "Generalized Fibonacci numbers with five parameters." Thermal Science 26, Spec. issue 2 (2022): 495–505. http://dx.doi.org/10.2298/tsci22s2495t.

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In this paper, we define five parameters generalization of Fibonacci numbers that generalizes Fibonacci, Pell, Modified Pell, Jacobsthal, Narayana, Padovan, k-Fibonacci, k-Pell, Modified k-Pell, k-Jacobsthal numbers and Fibonacci p-numbers, distance Fibonacci numbers, (2, k)-distance Fibonacci numbers, generalized (k, r)-Fibonacci numbers in the distance sense by extending the definition of a distance in the recurrence relation with two parameters and adding three parameters in the definition of this distance, simultaneously. Tiling and combinatorial interpretations of generalized Fibonacci nu

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9

Kuhapatanakul, Kantaphon, and Vichian Laohakosol. "The generalized k-sequence." Journal of Discrete Mathematical Sciences and Cryptography 22, no. 6 (2019): 943–52. http://dx.doi.org/10.1080/09720529.2019.1627071.

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10

Kuzakon, V. M., and A. M. Shelekhov. "K-Generalized G-Structures." Journal of Mathematical Sciences 194, no. 2 (2013): 176–81. http://dx.doi.org/10.1007/s10958-013-1518-z.

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11

Rihane, S. E. "On $k$-Fibonacci balancing and $k$-Fibonacci Lucas-balancing numbers." Carpathian Mathematical Publications 13, no. 1 (2021): 259–71. http://dx.doi.org/10.15330/cmp.13.1.259-271.

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The balancing number $n$ and the balancer $r$ are solution of the Diophantine equation $$1+2+\cdots+(n-1) = (n+1)+(n+2)+\cdots+(n+r). $$ It is well known that if $n$ is balancing number, then $8n^2 + 1$ is a perfect square and its positive square root is called a Lucas-balancing number. For an integer $k\geq 2$, let $(F_n^{(k)})_n$ be the $k$-generalized Fibonacci sequence which starts with $0,\ldots,0,1,1$ ($k$ terms) and each term afterwards is the sum of the $k$ preceding terms. The purpose of this paper is to show that 1, 6930 are the only balancing numbers and 1, 3 are the only Lucas-bala

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12

Hou, Xinmin, and Tianming Wang. "ON GENERALIZED k-DIAMETER OF k-REGULAR k-CONNECTED GRAPHS." Taiwanese Journal of Mathematics 8, no. 4 (2004): 739–45. http://dx.doi.org/10.11650/twjm/1500407715.

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13

Saadi, Faouaz, Othman Tyr та Radouan Daher. "Generalized Hausdorff Operators on K ̇ α , q β , p ℝ and H K ̇ α , q β , p , N ℝ in the Dunkl Settings". Journal of Function Spaces 2021 (28 серпня 2021): 1–8. http://dx.doi.org/10.1155/2021/6547407.

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In the present paper, we obtain some new results, and we generalize some known results for the Hausdorff operators. We have studied the generalized Hausdorff operators H α , φ on the Dunkl-type homogeneous weighted Herz spaces K ̇ α , q β , p ℝ and Dunkl Herz-type Hardy spaces H K ̇ α , q β , p , N ℝ . We have determined simple sufficient conditions for these operators to be bounded on these spaces. As applications, we provide necessary and sufficient conditions for generalized Cesàro operator to be bounded on K ̇ α , q β , p ℝ and Hardy inequality for K ̇ α , q β , p ℝ .

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14

Panwar, Ashwini, Kiran Sisodiya, and G. P. S. Rathore. "Generalized (k, r) – Lucas Numbers." International Journal of Computer Applications 159, no. 6 (2017): 20–22. http://dx.doi.org/10.5120/ijca2017912962.

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15

Klinker, Frank. "Generalized duality for k-forms." Journal of Geometry and Physics 61, no. 12 (2011): 2293–308. http://dx.doi.org/10.1016/j.geomphys.2011.07.007.

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16

Yazlik, Yasin, Sure Köme, and Cahit Köme. "Bicomplex generalized k-Horadam quaternions." Miskolc Mathematical Notes 20, no. 2 (2019): 1315. http://dx.doi.org/10.18514/mmn.2019.2628.

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17

Carosi, Raffaello, and Gianpiero Monaco. "Generalized Graph k-Coloring Games." Theory of Computing Systems 64, no. 6 (2019): 1028–41. http://dx.doi.org/10.1007/s00224-019-09961-9.

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18

Bezdek, James C., Siew K. Chuah, and David Leep. "Generalized k-nearest neighbor rules." Fuzzy Sets and Systems 18, no. 3 (1986): 237–56. http://dx.doi.org/10.1016/0165-0114(86)90004-7.

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19

Satyanarayana, Bavanari, and Shake Baji. "A Study on the Polarity of Generalized Neutrosophic Ideals in BCK-Algebra." Neutrosophic Systems with Applications 22 (October 1, 2024): 31–42. http://dx.doi.org/10.61356/j.nswa.2024.22364.

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In this study, we apply k-polar generalized neutrosophic logic to the ideal of BCK-algebra and consequently introduce the notion of a k-polar generalized neutrosophic ideal in BCK-algebra with an example. We provide conditions for a k-polar generalized neutrosophic set to be a k-polar generalized neutrosophic ideal. We prove that every k-polar generalized neutrosophic ideal is a k-polar generalized neutrosophic subalgebra, but the converse is not true, which can be illustrated with an example. Furthermore, we prove that a k-polar generalized neutrosophic set is a k-polar generalized neutrosoph

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20

Kumar, Ankit, Manu Rohilla, and Rattan Lal. "A note on the Browder’s theorem and a Cline’s formula for generalized Drazin-g-meromorphic inverses." Filomat 38, no. 25 (2024): 8849–60. https://doi.org/10.2298/fil2425849k.

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In this paper, we give a new characterization of Browder?s theorem by means of the generalized Drazin-g-meromorphic Weyl spectrum and the generalized Drazin-g-meromorphic spectrum. Also, for operators A and B satisfying Ak Bk Ak = Ak+1 for some positive integer k, we generalize Cline?s formula to the case of generalized Drazin-g-meromorphic invertibility.

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21

Ali, Rifaqat, Devendra Kumar, and Khaled Alzobedy. "Generalized growth of meromorphic functions and rational approximation." Filomat 37, no. 1 (2023): 293–302. http://dx.doi.org/10.2298/fil2301293a.

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For an arbitrary compact set E ? C we consider the Newton-Pad? approximant and rational approximation error of meromorphic function f and relate these to the generalized order and generalized type of f. Our results generalize the various results of K. Reczek ([20],[21]) and Winiarski [28].

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22

Chen, Man, and Huaifeng Chen. "On ideal matrices whose entries are the generalized $ k- $Horadam numbers." AIMS Mathematics 10, no. 2 (2025): 1981–97. https://doi.org/10.3934/math.2025093.

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<p>Ideal matrices, which generalize circulant and $ r- $circulant matrices, play a key role in Ajtai's construction of collision-resistant hash functions. In this paper, we study ideal matrices whose entries are the generalized $ k- $Horadam numbers, which represent a generalization of second-order sequences and include many well-known sequences such as Fibonacci, Lucas, and Pell numbers as special cases. We derive two explicit formulas for calculating the eigenvalues and determinants of these matrices. Additionally, we obtain upper bounds for the spectral norm and the Frobenius norm of

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23

Liu, Lele. "On the Spectrum and Spectral Norms of r-Circulant Matrices with Generalized k-Horadam Numbers Entries." International Journal of Computational Mathematics 2014 (August 31, 2014): 1–6. http://dx.doi.org/10.1155/2014/795175.

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This work is concerned with the spectrum and spectral norms of r-circulant matrices with generalized k-Horadam numbers entries. By using Abel transformation and some identities we obtain an explicit formula for the eigenvalues of them. In addition, a sufficient condition for an r-circulant matrix to be normal is presented. Based on the results we obtain the precise value for spectral norms of normal r-circulant matrix with generalized k-Horadam numbers, which generalize and improve the known results.

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24

Jiao, Hehua, and Sanyang Liu. "On a Nonsmooth Vector Optimization Problem with Generalized Cone Invexity." Abstract and Applied Analysis 2012 (2012): 1–17. http://dx.doi.org/10.1155/2012/458983.

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By using Clarke’s generalized gradients we consider a nonsmooth vector optimization problem with cone constraints and introduce some generalized cone-invex functions calledK-α-generalized invex,K-α-nonsmooth invex, and other related functions. Several sufficient optimality conditions and Mond-Weir type weak and converse duality results are obtained for this problem under the assumptions of the generalized cone invexity. The results presented in this paper generalize and extend the previously known results in this area.

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25

Arvind Maharshi. "The T-Generalized P - K Wright Function and its Properties." Communications on Applied Nonlinear Analysis 32, no. 7s (2025): 369–78. https://doi.org/10.52783/cana.v32.3424.

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In this paper, we introduce t-Generalized p-k Wright function (_r^(t,p))Ψ_s^k and discuss about its convergence condition. We obtain functional relation between t-Generalized p-k Wright function, Generalized p-k Wright function and generalized Wright function and some special cases have also been discussed. We obtain integral representation of t-Generalized p-k Wright function and discussed its properties.

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26

Kolitsch, Louis. "Generalized Frobenius partitions, k-cores, k-quotients, and cranks." Acta Arithmetica 62, no. 1 (1992): 97–102. http://dx.doi.org/10.4064/aa-62-1-97-102.

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27

Nisar, Kottakkaran Sooppy, Gauhar Rahman, Junesang Choi, Shahid Mubeen, and Muhammad Arshad. "Generalized hypergeometric k-functions via (k,s)-fractional calculus." Journal of Nonlinear Sciences and Applications 10, no. 04 (2017): 1791–800. http://dx.doi.org/10.22436/jnsa.010.04.40.

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28

Katerinchuk, O. M. "On K-large and generalized K-large Abelian groups." Journal of Mathematical Sciences 154, no. 3 (2008): 312–18. http://dx.doi.org/10.1007/s10958-008-9187-z.

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29

Hui, Shyamal Kumar, Siraj Uddin та Pradip Mandal. "Submanifolds of generalized $$(k,\mu )$$ ( k , μ ) -space-forms". Periodica Mathematica Hungarica 77, № 2 (2018): 329–39. http://dx.doi.org/10.1007/s10998-018-0248-x.

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30

Cortés, Vicente, and Liana David. "Twist, elementary deformation and K/K correspondence in generalized geometry." International Journal of Mathematics 31, no. 10 (2020): 2050078. http://dx.doi.org/10.1142/s0129167x20500780.

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We define the conformal change and elementary deformation in generalized complex geometry. We apply Swann’s twist construction to generalized (almost) complex and Hermitian structures obtained by these operations and establish conditions for the Courant integrability of the resulting twisted structures. We associate to any appropriate generalized Kähler manifold [Formula: see text] with a Hamiltonian Killing vector field a new generalized Kähler manifold, depending on the choice of a pair of non-vanishing functions and compatible twist data. We study this construction when [Formula: see text]

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31

Daşdemir, Ahmet, Göksal Bilgici, and Hossen Ahmed. "On the Generalized Order-k Jacobsthal and Jacobtshal-Lucas Numbers." Fundamentals of Contemporary Mathematical Sciences 6, no. 1 (2025): 19–33. https://doi.org/10.54974/fcmathsci.1394995.

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The classic Jacobsthal numbers were generalized to k sequences of the generalized order-k Jacobsthal numbers and then have been studied by several authors. In this paper, we explain that all of these studies used an incorrect version of order-k Jacobsthal numbers for reasons and give the correct definition of order-k Jacobsthal numbers. Further, we introduce the compatible generalized order-k Jacobsthal-Lucas numbers with the generalized order-k Jacobsthal numbers. Next, we give some properties of order-k Jacobsthal numbers and order-k Jacobsthal-Lucas numbers, including generating matrix, gen

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32

CELEMOGLU, CAGLA. "A NOTE ON NEW GENERALIZATIONS OF k-HORADAM SEQUENCES AND THE POWER SEQUENCES OF THESE GENERALIZATIONS." Journal of Science and Arts 21, no. 3 (2021): 625–38. http://dx.doi.org/10.46939/j.sci.arts-21.3-a03.

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In this article, firstly, we have described new generalizations of generalized k - Horadam sequence and we named the generalizations as another generalized k - Horadam sequence {H k,n}nE, a different generalized k - Horadam sequence {qk,n} and an altered generalized k - Horadam sequence {Qk,n) , respectively. Then, we have studied properties of these new generalizations and we have obtained generating function and extended Binet formula for each generalization. Also, we have introduced a power sequence for an altered generalized k - Horadam sequence in order to be used in different application

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33

Liu, Jia-Bao, Sana Akram, Muhammad Javaid, and Zhi-Ba Peng. "Exact Values of Zagreb Indices for Generalized T-Sum Networks with Lexicographic Product." Journal of Mathematics 2021 (August 30, 2021): 1–17. http://dx.doi.org/10.1155/2021/4041290.

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The use of numerical numbers to represent molecular networks plays a crucial role in the study of physicochemical and structural properties of the chemical compounds. For some integer k and a network G , the networks S k G and R k G are its derived networks called as generalized subdivided and generalized semitotal point networks, where S k and R k are generalized subdivision and generalized semitotal point operations, respectively. Moreover, for two connected networks, G 1 and G 2 , G 1 G 2 S k and G 1 G 2 R k are T -sum networks which are obtained by the lexicographic product of T G 1 and G

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34

Khanehgir, Mahnaz, Marzieh Khibary, Firoozeh Hasanvand, and Ahmad Modabber. "Multi-generalized 2-normed space." Filomat 31, no. 3 (2017): 841–51. http://dx.doi.org/10.2298/fil1703841k.

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In this paper, we introduce the concepts of multi-generalized 2-normed space and dual multigeneralized 2-normed space and we then investigate some results related to them. We also prove that, if (E,||.,.||) is a generalized 2-normed space, {||.,.||k}k?N is a sequence of generalized 2-norms on Ek (k ? N) such that for each x,y ? E, ||x,y||1 = ||x,y|| and for each k ? N axioms (MG1), (MG2) and (MG4)((DG4)) of (dual) multi-generalized 2-normed space are true, then {(Ek,||.,. ||k), k ? N} is a (dual) multi-generalized 2-normed space. Finally we deal with an application of a dual multi-generalized

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35

Premalatha, C. R., та H. G. Nagaraja. "On Generalized (k; μ) Space Forms". Journal of the Tensor Society 7, № 01 (2013): 29–38. http://dx.doi.org/10.56424/jts.v7i01.10469.

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In this paper we study generalized (k, μ) space forms by considering flat, symmetry and semi-symmetry conditions. We find relations among associated functions to prove conformal flatness, projective flatness of generalized (k, μ) space forms. Further we prove that in a projectively flat generalized (k, μ) space form the associated functions f2 and f3 are linearly dependent.

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36

Rovenski, Vladimir. "Generalized Ricci solitons and Einstein metrics on weak $ K $-contact manifolds." Communications in Analysis and Mechanics 15, no. 2 (2023): 177–88. http://dx.doi.org/10.3934/cam.2023010.

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<abstract><p>We study so-called "weak" metric structures on a smooth manifold, which generalize the metric contact and $ K $-contact structures and allow a new look at the classical theory. We characterize weak $ K $-contact manifolds among all weak contact metric manifolds using the property well known for $ K $-contact manifolds, as well as find when a Riemannian manifold endowed with a unit Killing vector field is a weak $ K $-contact manifold. We also find sufficient conditions for a weak $ K $-contact manifold with a parallel Ricci tensor or with a generalized Ricci soliton st

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37

KHOSRAVI, A., and J. S. BANYARANI. "Weaving g-Frames for Operators." Kragujevac Journal of Mathematics 49, no. 2 (2024): 167–80. http://dx.doi.org/10.46793/kgjmat2502.167k.

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Bemrose et al. introduced weaving frames and later, Deepshikha et al. generalized them to weaving K-frames. In this note, as a generalization of these notions, we introduce approximate K-duals and investigate the properties of K-g-frames and weaving K-g-frames. We show that woven K-g-frames and weakly woven K-g-frames coincide. We also study perturbation and erasure of woven K-g-frames and we show that they are stable under small perturbations. Also we generalize some of the known results in frame theory to K-g-frames and weaving K-g-frames.

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38

KÖME, Sure, Cahit KÖME, and Yasin YAZLİK. "Dual-complex generalized k-Horadam numbers." Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 70, no. 1 (2021): 117–29. http://dx.doi.org/10.31801/cfsuasmas.780861.

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39

Rossafi, M., and S. Kabbaj. "Generalized Frames for B(H, K)." Iranian Journal of Mathematical Sciences and Informatics 17, no. 1 (2022): 1–9. http://dx.doi.org/10.52547/ijmsi.17.1.1.

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40

Yağmur, Tülay. "On generalized bicomplex k-Fibonacci numbers." Notes on Number Theory and Discrete Mathematics 25, no. 4 (2019): 123–33. http://dx.doi.org/10.7546/nntdm.2019.25.4.123-133.

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41

kumar, Aditya. "On Generalized C k  | ,,, , | -Summability Factor." IOSR Journal of Mathematics 7, no. 5 (2013): 17–20. http://dx.doi.org/10.9790/5728-0751720.

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42

Falcon, Sergio. "On the generalized k-Fibonacci numbers." Miskolc Mathematical Notes 22, no. 1 (2021): 193. http://dx.doi.org/10.18514/mmn.2021.1233.

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43

Levin, Asaf. "A generalized minimum cost k -clustering." ACM Transactions on Algorithms 5, no. 4 (2009): 1–10. http://dx.doi.org/10.1145/1597036.1597039.

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44

Lebtahi, Leila, and Néstor Thome. "A note on k-generalized projections." Linear Algebra and its Applications 420, no. 2-3 (2007): 572–75. http://dx.doi.org/10.1016/j.laa.2006.08.011.

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45

Du, Hong-Ke, Wen-Feng Wang, and Ying-Tao Duan. "Path connectivity of k-generalized projectors." Linear Algebra and its Applications 422, no. 2-3 (2007): 712–20. http://dx.doi.org/10.1016/j.laa.2006.12.001.

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46

Traldi, Lorenzo. "Generalized activities and K-terminal reliability." Discrete Mathematics 96, no. 2 (1991): 131–49. http://dx.doi.org/10.1016/0012-365x(91)90230-y.

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47

Glazman, A. "Generalized flowers in k-connected graphs." Journal of Mathematical Sciences 184, no. 5 (2012): 579–94. http://dx.doi.org/10.1007/s10958-012-0883-3.

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48

Sharma, P. L., and Saroj Sharma. "Resolution property in generalized k-spaces." Topology and its Applications 29, no. 1 (1988): 61–66. http://dx.doi.org/10.1016/0166-8641(88)90057-0.

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49

Savaş, Ekrem. "On generalized |A|k-summability factors." Computers & Mathematics with Applications 59, no. 1 (2010): 514–18. http://dx.doi.org/10.1016/j.camwa.2009.05.019.

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50

Li, Xin. "$K$-theory for generalized Lamplighter groups." Proceedings of the American Mathematical Society 147, no. 10 (2019): 4371–78. http://dx.doi.org/10.1090/proc/14619.

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