Results 1 to 10 of about 388 (219)

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

open access: yesJournal 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   +4 more sources

On Generalized Absolute Matrix Summability Methods [PDF]

open access: yesInternational 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   +8 more sources

Absolute matrix summability methods [PDF]

open access: yesApplied Mathematics Letters, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hikmet Seyhan Özrssln, T. Ari
exaly   +5 more sources

On the Absolute Matrix Summability Factors of Fourier Series [PDF]

open access: yesMathematical Notes, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ş. Yıldız, Yildiz, S.
exaly   +6 more sources

On absolute matrix summability methods [PDF]

open access: yesInternational 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
doaj   +5 more sources

A generalization of a theorem of Bor [PDF]

open access: yesJournal 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   +1 more
doaj   +2 more sources

A Study on Generalized Absolute Matrix Summability

open access: yesCumhuriyet 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]

open access: yesJournal 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

Inclusion Theorems for Absolute Matrix Summability Methods

open access: yesJournal 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
exaly   +3 more sources

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