Results 11 to 20 of about 86,577,496 (251)
Matrix Summability Methods and Weakly Unconditionally Cauchy Series
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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Regular matrix methods of summability and real interpolation [PDF]
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2021 Summary: We show that the Banach-Saks property with respect to a regular positive matrix method of summability is inherited by the real interpolation spaces from a space forming the interpolation family and possessing this property. The proof refers to the Galvin-Prikry theorem [\textit{F. Galvin} and \textit{K. Prikry}, J. Symb. Log.
Kryczka, Andrzej, Kurlej, Konrad
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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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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
doaj +2 more sources
On Generalized Absolute Matrix Summability Methods [PDF]
International Journal of Analysis and Applications, 2016 In this paper, we prove a general theorem dealing with absolute matrix summability methods of infinite series. This theorem also includes some new and known results.
Hikmet Seyhan Özarslan
core +6 more sources
A Note on Strong Matrix Summability via Ideals [PDF]
Applied Mathematics Letters, 2012 Following the line of recent works of Das et al. (2011) [15] and Savas and Das (2011) [19] we apply the notion of ideals to strong matrix summability, and in this note, we introduce the notion of strong AI-summability with respect to an Orlicz function ...
Pratulananda Das +2 more
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Absolute Matrix Summability via Almost Increasing Sequence
Quaestiones Mathematicae, 2020 In the present paper, a new theorem concerning absolute matrix summability factors, which generalizes a theorem on the summability factors of infinite series, has been proved by using almost increasing sequence and matrix ...
Bağdagül Kartal +1 more
exaly +2 more sources
Inclusion Theorems for Absolute Matrix Summability Methods
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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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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Matrix Summability Methods [PDF]
, 2020 The purpose of this study is to prepare a brief summary of some matrix summability methods. This thesis consists of four chapters. In the first chapter, a general introduction to the matrix summability method is mentioned. In Chapter 2, deals with the basic definitions and theorems of sequences associated with matrix summability methods. In this thesis
Dağbaşı, Gizem
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