Results 11 to 20 of about 11,921,625 (293)
Stečkin inequalities for summability methods
International Journal of Mathematics and Mathematical Sciences, 1997 Stečkin proved an inequality on Fejér means of Fourier series He said, Proving similar inequality for other summability method is an interesting problem. We generalize Stečkin's inequality and give various applications to summability methods.
Jia-Ding Cao
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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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Relations on some Summability Methods [PDF]
Proceedings of the American Mathematical Society, 1993 In this paper we prove a new result connecting the summability methods | N
W. T. Sulaiman
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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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Some Equivalence Theorems on Absolute Summability Methods [PDF]
International Journal of Analysis and Applications, 2017 In this paper, we obtained necessary and sufficient conditions for the equivalence of two general summability methods. Some new and known results are also obtained.
Hikmet Seyhan Özarslan
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A generalization theorem covering many absolute summability methods
International Journal of Mathematics and Mathematical Sciences, 2001 A general theorem concerning many absolute summability methods is proved.
W. T. Sulaiman
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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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An Analogue for Strong Summability of Abel's Summability Method [PDF]
Proceedings of the Edinburgh Mathematical Society, 1953 Given a series Σan, we define , by the relationwhere is the binomial coefficient . Let . If , the series Σan is said to be summable (C; k) to the sum s. If k > 0, p ≥ 1 and if, as n → ∞,we say that the series Σan is summable [C; k, p] to the sum s, or that the series is strongly summable (C; k) with index p to the sum s. If denotes the difference ,
Harington, C. F., Hyslop, J. M.
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Kernel-Summability Methods and the Silverman-Toeplitz Theorem [PDF]
, 2023 We introduce kernel-summability methods in Banach spaces using the vector-valued integrals and prove an analogue of the Silverman-Toeplitz Theorem for regular kernel-summability methods.
Parisé, Pierre-Olivier
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