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Relevant bibliographies by topics / Strongly summable sequences

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Academic literature on the topic 'Strongly summable sequences'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Strongly summable sequences"

1

Soualmia, Rachid, Dahmane Achour, and Elhadj Dahia. "Strongly (p,q)-summable sequences." Filomat 34, no. 11 (2020): 3627–37. http://dx.doi.org/10.2298/fil2011627s.

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In this paper we provide a detailed study of the Banach space of strongly (p,q)-summable sequences. We prove that this space is a topological dual of a class of mixed (s,p)-summable sequences, showing in this way new properties of this space. We apply these results to obtain the characterization of the adjoints of (r,p,q)-summing operators.

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2

Dutta, Hemen. "ON n-NORMED LINEAR SPACE VALUED STRONGLY (C,1)-SUMMABLE DIFFERENCE SEQUENCES." Asian-European Journal of Mathematics 03, no. 04 (2010): 565–75. http://dx.doi.org/10.1142/s1793557110000441.

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In this article we extend the notion of famous strongly ( C ,1)-summable or strongly Cesàro summable real sequences to n-normed linear space valued difference sequences. Consequently we introduce the notions of n-normed linear space (n-nls) valued strongly Cesàro [Formula: see text]-summable, strongly Cesàro [Formula: see text]-null and strongly Cesàro [Formula: see text]-bounded sequences. Further we extend and investigate the notion of n-norm and derived (n - l) - norms, for all l = 1, 2, …, n - 1 on the spaces of these three types of sequences. We also prove the Fixed point theorem for thes

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3

Ibrahim, Ibrahim S., та Rifat Çolak. "On strong lacunary summability of order α with respect to modulus functions". Annals of the University of Craiova - Mathematics and Computer Science Series 48, № 1 (2021): 127–36. http://dx.doi.org/10.52846/ami.v48i1.1399.

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This research paper focuses on defining the relationships between the sets of strongly lacunary summable and lacunary statistically convergent sequences by using different modulus functions f and g under certain conditions and different orders. Furthermore, for some special modulus functions, we establish the relations between the sets of strongly f-lacunary summable sequences and strongly f-lacunary summable sequences of order alpha.

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4

Bilgin, Tunay, та Yilmaz Altun. "STRONGLY (VΛ,A,P) - SUMMABLE SEQUENCE SPACES DEFINED BY A MODULUS". Mathematical Modelling and Analysis 12, № 4 (2007): 419–24. http://dx.doi.org/10.3846/1392-6292.2007.12.419-424.

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We introduce the strongly (Vλ,A,p) ‐ summable sequences and give the relation between the spaces of strongly (Vλ,A,p) ‐ summable sequences and strongly (Vλ,A,p) ‐ summable sequences with respect to a modulus function when A = (α ik ) is an infinite matrix of complex numbers and ρ = (pi) is a sequence of positive real numbers. Also we give natural relationship between strongly (Vλ, A,p) ‐ convergence with respect to a modulus function and strongly Sλ (A) ‐ statistical convergence. Key words: De la Vallee‐Poussin mean, modulus function, statistical convergence.

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5

Bilgin, Tunay. "Spaces of strongly A-summable sequences." Acta et Commentationes Universitatis Tartuensis de Mathematica 1 (December 31, 1996): 75–80. http://dx.doi.org/10.12697/acutm.1996.01.09.

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6

Nanda, S. "Strongly almost summable and strongly almost convergent sequences." Acta Mathematica Hungarica 49, no. 1-2 (1987): 71–76. http://dx.doi.org/10.1007/bf01956311.

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7

Et, Mikail. "On pointwise λ-statistical convergence of order α of sequences of fuzzy mappings". Filomat 28, № 6 (2014): 1271–79. http://dx.doi.org/10.2298/fil1406271e.

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In this study, we introduce the concepts of pointwise ?-statistical convergence of order ? of sequences of fuzzy mappings and strongly pointwise (V,?,p) summable of order ? of sequences of fuzzy mappings. Some relations between pointwise ?-statistical convergence of order ? and strongly pointwise (V,?,p) summable of order ? of sequences of fuzzy mappings are given.

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8

Malkowsky, Eberhard. "On strong summability and convergence." Filomat 31, no. 11 (2017): 3095–123. http://dx.doi.org/10.2298/fil1711095m.

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We give a survey of the recent results concerning the fundamental topological properties of spaces of stronly summable and convergent sequences, their ?- and continuous duals, and the characterizations of classes of linear operators between them. Furthermore we demonstrate how the Hausdorff measure of noncompactness can be used in the characterization of classes of compact operators between the spaces of strongly summable and bounded sequences.

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Çolak, R., Ç. A. Bektaş, H. Altınok, and S. Ercan. "On Inclusion Relations between Some Sequence Spaces." International Journal of Analysis 2016 (August 3, 2016): 1–4. http://dx.doi.org/10.1155/2016/7283527.

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We determine the relations between the classes S^λ of almost λ-statistically convergent sequences and the relations between the classes V^,λ of strongly almost V,λ-summable sequences for various sequences λ, μ in the class Λ. Furthermore we also give the relations between the classes S^λ of almost λ-statistically convergent sequences and the classes V^,λ of strongly almost V,λ-summable sequences for various sequences λ,μ∈Λ.

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10

Savaş, E. "-Almost summable spaces." Ukrains’kyi Matematychnyi Zhurnal 72, no. 10 (2020): 1410–17. http://dx.doi.org/10.37863/umzh.v72i10.396.

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UDC 517.5 In this paper, we investigate some new sequence spaces which arise from the notation of generalized de la Vallée-Poussin means and introduce the spaces of strongly -almost summable sequences. We also consider some topological results, characterization of strongly -almost regular matrices.

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Book chapters on the topic "Strongly summable sequences"

1

Das, Gokulananda, and Sudarsan Nanda. "Absolutely Almost and Strongly Almost Summable Sequences." In Banach Limit and Applications. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003144090-11.

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