Results 11 to 20 of about 325 (259)
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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On absolute matrix summability methods [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 We have proved a theorem on summability methods. This theorem includes a known theorem.
H. S. Özarslan, H. N. Öğdük
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On Generalized Absolute Matrix Summability Methods
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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Matrix Summability of Unbounded Sequences [PDF]
Proceedings of the American Mathematical Society, 1992 A well-known result of Mazur and Orlicz states that a matrix method strictly stronger than convergence sums not only bounded sequences but unbounded sequences. We consider the question of whether a matrix method strictly stronger than convergence will also sum a sequence with series terms (differences) constituting an unbounded sequence.
Defranza, J., Zeller, K.
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Matrix summability in amenable semigroups [PDF]
Proceedings of the American Mathematical Society, 1972 Necessary and sufficient conditions are given for an infinite matrix to be almost Schur and almost strongly regular in left amenable semigroups.
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Matrix summability of convex sequences [PDF]
Proceedings of the American Mathematical Society, 1968 3 3, . In this paper we obtain three conditions which are necessary and sufficient for a matrix to sum every convergent convex sequence. The first two conditions are (1) and (2) above, while the third condition is a weakened version of (3)'. Matrices considered here have complex elements even though convex sequences are necessarily real sequences.
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APPLICATIONS OF MATRIX TRANSFORMATIONS TO ABSOLUTE SUMMABILITY [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2021 Rhoades and Sava¸s [6],[11] established necessary for inclusions of the absolute matrix summabilities under additional conditions. In this paper we determine necessary or su¢ cient conditions for some classes of in…nite matrices, and using this get necessary or su¢ cient conditions for more general absolute summabilities applied to all matrices.
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Orlicz–Pettis Theorem through Summability Methods
Mathematics, 2019 This paper unifies several versions of the Orlicz−Pettis theorem that incorporate summability methods. We show that a series is unconditionally convergent if and only if the series is weakly subseries convergent with respect to a regular linear ...
Fernando León-Saavedra +2 more
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Noninclusion theorems for summability matrices
International Journal of Mathematics and Mathematical Sciences, 1997 For both ordinary convergence and ℓ1-summability explicit sufficient conditions on a matrix have long been known that ensure that the summability method is strictly stronger than the identity map. The main results herein show that a matrix that satisfies
J. A. Fridy
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On the Consistency Theorem in Matrix Summability [PDF]
Proceedings of the American Mathematical Society, 1972 We give a generalization of the consistency theorem for bounded convergence fields. The space c of convergent sequences is replaced by a space of more general type. Applications of the generalized consistency theorem are made to multiplicative summability theory.
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