Results 11 to 20 of about 272 (207)
TAUBERIAN THEOREM FOR GENERAL MATRIX SUMMABILITY METHOD [PDF]
Ural Mathematical JournalIn this paper, we prove certain Littlewood–Tauberian theorems for general matrix summability method by imposing the Tauberian conditions such as slow oscillation of usual as well as matrix generated sequence, and the De la Vallée Poussin means of real ...
Bidu Bhusan Jena +2 more
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Matrix Summability Methods and Weakly Unconditionally Cauchy Series [PDF]
Rocky Mountain Journal of Mathematics, 2009 We study new sequence spaces determined by series in normed spaces and a matrix summability method, giving new characterizations of weakly unconditionally Cauchy series. We obtain characterizations for the completeness of a normed space, and a version of the Orlicz-Pettis theorem via matrix summability methods is also proved.
Aizpuru, A. +2 more
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Inclusion Theorems for Absolute Matrix Summability Methods [PDF]
Journal of Mathematical Analysis and Applications, 1999 The author establishes a general inclusion theorem for a non-negative regular matrix \(T\) satisfying some conditions absolutely stronger than conditions satisfied by a weighted mean matrix. Further he obtains four corollaries establishing inclusion theorems for Cesáro and weighted mean methods and deducing earlier results of H. Bor and M. A. Sarigöl.
B E Rhoades
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Matrix Summability of Walsh–Fourier Series [PDF]
Mathematics, 2022 The presented paper discusses the matrix summability of the Walsh–Fourier series. In particular, we discuss the convergence of matrix transforms in L1 space and in CW space in terms of modulus of continuity and matrix transform variation.
Ushangi Goginava, Károly Nagy
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Ideal convergence generated by double summability methods [PDF]
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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Summability methods based on the Riemann Zeta function [PDF]
International Journal of Mathematics and Mathematical Sciences, 1988 This paper is a study of summability methods that are based on the Riemann Zeta function. A limitation theorem is proved which gives a necessary condition for a sequence x to be zeta summable.
Larry K. Chu
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On the Absolute Matrix Summability Factors of Fourier Series [PDF]
Mathematical Notes, 2018 WOS: 000427616800030In this paper, two known theorems on |NI", p (n) | (k) summability methods of Fourier series have been generalized for |A, p (n) | (k) summability factors of Fourier series by using different matrix transformations.
Ş. Yıldız, Yildiz, S.
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Absolute matrix summability methods
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hikmet Seyhan Özrssln, T. Ari
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Matrix transformations from absolutely convergent series to convergent sequences as general weighted mean summability methods [PDF]
International Journal of Mathematics and Mathematical Sciences, 2000 We prove the necessary and sufficient conditions for an infinity matrix to be a mapping, from absolutely convergent series to convergent sequences, which is treated as general weighted mean summability methods.
Jinlu Li
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Modularly weighted four dimensional matrix summability with application to Korovkin type approximation theorem [PDF]
Journal of Mathematical Analysis and Applications, 2018 This work is concerned with various weighted four dimensional matrix summability methods in modular function spaces associating with generalized difference operator involving (p, q)-gamma function.
Uğur Kadak
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