Results 11 to 20 of about 82,928,475 (246)
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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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 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
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, 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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q-Matrix Summability Methods [PDF]
, 2011 ABSTRACT: In this thesis, we mainly focus on q-analogs of matrix methods such as Cesaro, Holder, Euler and Hausdorff methods. A summability method which is generated by an infinite matrix is called a matrix method. As it is well known the first order Cesaro summability method (C, 1), which is generated by the Cesaro matrix of order one, plays an ...
Bekar, Şerife
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Axioms, 2018 In this paper, using an infinite matrix of complex numbers, a modulus function and a lacunary sequence, we generalize the concept of I -statistical ...
Ömer Kişi +2 more
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A bounded consistency theorem for strong summabilities
International Journal of Mathematics and Mathematical Sciences, 1989 The study of R-type summability methods is continued in this paper by showing that two such methods are identical on the bounded portion of the strong summability field associated with the methods.
C. S. Chun, A. R. Freedman
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Doubly Iterated Matrix Methods of Summability [PDF]
Proceedings of the American Mathematical Society, 1961 { Cnk } n The matrix A is said to be regular if every convergent sequence is summable-A to its natural limit; for this the requirements on the aik are the celebrated Silverman-Toeplitz conditions [1, p. 64]. The idea of the present paper derives from the appeal to replace the application of the natural limit in (1) in both instances by summability-A ...
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On absolute normal double matrix summability methods [PDF]
, 2003 It is shown that, if T is a row finite nonnegative double summability matrix satisfying certain conditions, then |T|k summability is stronger than |N, pn|k summability, for k 1. As special summability methods T we consider weighted mean and double Cesaro,
Rhoades, B. E., B. E. Rhoades
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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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