Results 1 to 10 of about 275 (216)

A generalization of a theorem of Bor [PDF]

Journal of Inequalities and Applications, 2017
In this paper, a general theorem concerning absolute matrix summability is established by applying the concepts of almost increasing and δ-quasi-monotone sequences.
Hikmet Seyhan Özarslan, Bağdagül Kartal   +1 more
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Generalization of the space l(p) $l(p)$ derived by absolute Euler summability and matrix operators [PDF]

Journal of Inequalities and Applications, 2018
The sequence space l(p) $l(p)$ having an important role in summability theory was defined and studied by Maddox (Q. J. Math. 18:345–355, 1967). In the present paper, we generalize the space l(p) $l(p)$ to the space |Eϕr|(p) $\vert E_{\phi }^{r} \vert (p)$
Fadime Gökçe, Mehmet Ali Sarıgöl
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ON \(A^{\mathcal{I^{K}}}\)–SUMMABILITY

Ural Mathematical Journal, 2022
In this paper, we introduce and investigate the concept of \(A^{\mathcal{I^{K}}}\)-summability as an extension of \(A^{\mathcal{I^{*}}}\)-summability which was recently (2021) introduced by O.H.H.~Edely, where \(A=(a_{nk})_{n,k=1}^{\infty}\) is a non ...
Chiranjib Choudhury, Shyamal Debnath
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On |A|k summability factors of infinite series; pp. 201–206 [PDF]

Proceedings of the Estonian Academy of Sciences, 2010
In an earlier paper (Rhoades, B. E. and Savaş, E. Some necessary conditions for absolute matrix summability factors. Indian J. Pure Appl. Math., 2002, 33(7), 1003–1009) the authors obtained necessary conditions for the series ∑ an to be absolutely ...
B. E. Rhoades, Ekrem Savaş
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Ideals, Nonnegative Summability Matrices and Corresponding Convergence Notions: A Short Survey of Recent Advancements

Axioms, 2021
In this survey article, we look into some recent results concerning summability matrices, both regular as well as those which are not regular (called semi-regular) and generated matrix ideals as the overall view of the inter relationship between the ...
Pratulananda Das
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A Study on Generalized Absolute Matrix Summability

Cumhuriyet Science Journal, 2022
In the present paper, generalized absolute matrix summability method of infinite series has been studied. A known theorem on IMI ,summability method has been generalized using the summability method of infinite series.
Ahmet Karakaş
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A study on generalized absolute summability factors for a triangular matrix; pp. 115–120 [PDF]

Proceedings of the Estonian Academy of Sciences, 2011
In this paper, we establish a summability factor theorem for summability |A, δ|k. This paper is an extension of the main result of Savas, E. A study on absolute summability factors for a triangular matrix. Math. Ineq. Appl., 2009, 12(19), 141–146.
Ekrem Savaş
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On a new application of quasi power increasing sequences

Karpatsʹkì Matematičnì Publìkacìï, 2019
In the present paper, absolute matrix summability of infinite series has been studied. A new theorem concerned with absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series,
H.S. Özarslan
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Ideal convergence generated by double summability methods

Demonstratio Mathematica, 2016
The main result of this note is that if I is an ideal generated by a regular double summability matrix summability method T that is the product of two nonnegative regular matrix methods for single sequences, then I-statistical convergence and convergence
Connor Jeff
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On Strong Approximation in Generalized Hölder and Zygmund Spaces

Computer Sciences & Mathematics Forum, 2023
The strong approximation of a function is a useful tool to analyze the convergence of its Fourier series. It is based on the summability techniques. However, unlike matrix summability methods, it uses non-linear methods to derive an auxiliary sequence ...
Birendra Singh, Uaday Singh
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