Results 11 to 20 of about 1,208 (295)
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
doaj +2 more sources
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
doaj +2 more sources
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
doaj +2 more sources
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
openaire +5 more sources
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
doaj +5 more sources
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
doaj +2 more sources
Some Equivalence Theorems on Absolute Summability Methods
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
doaj +4 more sources
A note on some generalized summability methods [PDF]
, 2013 In this paper, we continue our investigations in line of our recent papers, Savas and Das [16] and Das, Savas and Ghosal [5]. We introduce the notion of AI-statistical convergence which includes the new summability methods studied in [16] and [5] as ...
Dutta, Sudipta +2 more
core +4 more sources
A new extension on the theorem of Bor
Comptes Rendus. Mathématique, 2021 In [8], Bor has obtained a main theorem dealing with Riesz summability factors of infinite series and Fourier series. In this paper, we generalized that theorem to $|A,\theta _{n}|_{k}$ summability method for taking power increasing sequence.
Yıldız, Şebnem
doaj +1 more source
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.
openaire +1 more source