Results 1 to 10 of about 331 (256)
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
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
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 Transformations between Certain Sequence Spaces over the Non-Newtonian Complex Field [PDF]
The Scientific World Journal, 2014 In some cases, the most general linear operator between two sequence spaces is given by an infinite matrix. So the theory of matrix transformations has always been of great interest in the study of sequence spaces. In the present paper, we introduce the
Uğur Kadak, Hakan Efe
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Matrix Summability of Walsh–Fourier Series
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
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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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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Summability domains of matrix methods
Monatshefte f�r Mathematik, 1969 David F Dawson, Dawson David F
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On absolute matrix summability methods [PDF]
Mathematical Communications, 2005 We have proved a theorem on summability methods. This theorem includes a known theorem.
Hikmet Seyhan Özrssln, H. N. Ögdük
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F-seminorms on generalized double sequence spaces defined by modulus functions; pp. 121–132 [PDF]
Proceedings of the Estonian Academy of Sciences, 2014 Using a double sequence of modulus functions and a solid double scalar sequence space, we determine F-seminorm and F-norm topologies for certain generalized linear spaces of double sequences.
Enno Kolk, Annemai Raidjõe
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