Results 1 to 10 of about 3,092 (219)

A generalization of a theorem of Bor [PDF]

Journal of Inequalities and Applications, 2017
In this paper, a general theorem concerning absolute matrix summability is established by applying the concepts of almost increasing and δ-quasi-monotone sequences.
Hikmet Seyhan Özarslan, Bağdagül Kartal   +1 more
doaj   +2 more sources

Generalization of the space l(p) $l(p)$ derived by absolute Euler summability and matrix operators [PDF]

Journal of Inequalities and Applications, 2018
The sequence space l(p) $l(p)$ having an important role in summability theory was defined and studied by Maddox (Q. J. Math. 18:345–355, 1967). In the present paper, we generalize the space l(p) $l(p)$ to the space |Eϕr|(p) $\vert E_{\phi }^{r} \vert (p)$
Fadime Gökçe, Mehmet Ali Sarıgöl
doaj   +2 more sources

A Study on Generalized Absolute Matrix Summability

Cumhuriyet Science Journal, 2022
In the present paper, generalized absolute matrix summability method of infinite series has been studied. A known theorem on IMI ,summability method has been generalized using the summability method of infinite series.
Ahmet Karakaş
doaj   +3 more sources

Almost absolute weighted summability with index k and matrix transformations [PDF]

Journal of Inequalities and Applications, 2021
In this paper we generalize the space ℓ ˆ k $\hat{\ell }_{k}$ of absolutely almost convergent series (J. Math. Anal. Appl. 161:50–56, 1991) via weighted mean transformations. We study some inclusion relations and their topological properties.
M. A. Sarıgöl, M. Mursaleen
doaj   +3 more sources

On |A|k summability factors of infinite series; pp. 201–206 [PDF]

Proceedings of the Estonian Academy of Sciences, 2010
In an earlier paper (Rhoades, B. E. and Savaş, E. Some necessary conditions for absolute matrix summability factors. Indian J. Pure Appl. Math., 2002, 33(7), 1003–1009) the authors obtained necessary conditions for the series ∑ an to be absolutely ...
B. E. Rhoades, Ekrem Savaş
doaj   +1 more source

A study on generalized absolute summability factors for a triangular matrix; pp. 115–120 [PDF]

Proceedings of the Estonian Academy of Sciences, 2011
In this paper, we establish a summability factor theorem for summability |A, δ|k. This paper is an extension of the main result of Savas, E. A study on absolute summability factors for a triangular matrix. Math. Ineq. Appl., 2009, 12(19), 141–146.
Ekrem Savaş
doaj   +1 more source

On a new application of quasi power increasing sequences

Karpatsʹkì Matematičnì Publìkacìï, 2019
In the present paper, absolute matrix summability of infinite series has been studied. A new theorem concerned with absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series,
H.S. Özarslan
doaj   +1 more source

On double summability methods $\left| \mathcal{A}_{f}\right| _{k}$ and $\left| C,0,0\right|_{s}$

Journal of New Results in Science, 2022
Recently, for single series, the necessary and sufficient conditions for $\left\vert C,0\right\vert\Rightarrow \left\vert A_{f}\right\vert_{k}$ and vise versa, and $\left\vert A_{f}\right\vert \Rightarrow \left\vert C,0\right\vert_{k}$ and vise versa ...
Fadime Gökçe
doaj   +1 more source

Characterizations of Matrix and Compact Operators on BK Spaces

Universal Journal of Mathematics and Applications, 2023
In the present paper, by estimating operator norms, we give some characterizations of infinite matrix classes $\left( \left\vert E_{\mu }^{r}\right\vert _{q},\Lambda\right) $ and $\left( \left\vert E_{\mu }^{r}\right\vert _{\infty },\Lambda\right ...
Fadime Gökçe
doaj   +1 more source

Resumming the string perturbation series [PDF]

, 2015
We use the AdS/CFT correspondence to study the resummation of a perturbative genus expansion appearing in the type II superstring dual of ABJM theory.
Grassi, Alba, Marino, Marcos, Zakany, Szabolcs   +2 more
core   +3 more sources