Results 21 to 30 of about 388 (219)

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

open access: yesProceedings 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 Generalized Theorem on Double Absolute Factorable Matrix Summability [PDF]

open access: yes, 2022
In this paper, we generalize a new result on absolute index double matrix summability. Dealing with $|A|_k$-summability, Sava\c{s} and Rhoades [E. Sava\c{s} and B. E. Rhoades, Nonlinear Anal.
Sonker, Smita   +3 more
core   +2 more sources

On a new application of quasi power increasing sequences

open access: yesKarpatsʹkì 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 $\left| C,0,0\right|_{s}$

open access: yesJournal 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

open access: yesUniversal 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

On Multipliers for the Absolute Matrix Summability

open access: yesJournal of Mathematical Analysis and Applications, 1995
Let \((a_{n, k})\) be a triangular matrix with \(a_{n,k}\geq 0\), \(\sum^ n_{r= 0} a_{n, r}= 1\), \(a_{n- 1,k}\geq (1+ a_{n, 0}) a_{n,k+ 1}\), \(0\leq k< n\), \(n\geq 1\) and satisfying \(\sum^ \infty_{n= k} {A_{n,n- k}\over n+ 1}\leq C\) for every \(k\), \(\sum^{n- 1}_{k= 1} | \Delta_ k a_{n, k}|= O(1/n)\), \(\sum^{n- 2}_{k= 0} (k+ 1)| \Delta^ 2_ k a_{
Mittal, M.L., Kumar, R.
openaire   +1 more source

Some New Results on Absolute Summability Factors [PDF]

open access: yes, 2020
In this paper, we establish the general summability factor theorems related to generalized absoluteCesàro summability |??, ??, ??|?? and absolute factorable matrix summability |????,????|??methods for ?? ? 1,?? + ??
Hazar Güleç, G. Canan
core   +1 more source

Absolute matrix summability via almost increasing sequence [PDF]

open access: yes, 2021
In the present paper, a new theorem concerning absolute matrix summability factors, which generalizes a theorem on the  summability factors of infinite series, has been proved by using almost increasing sequence and matrix transformation ...
Kartal, Bağdagül   +1 more
core  

An Application of Absolute Matrix Summability using Almost Increasing and delta-quasi-monotone Sequences [PDF]

open access: yes, 2019
In the present paper, absolute matrix summability of infinite series is studied. A new theorem concerning absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series, is proved
Ozarslan, Hikmet
core   +1 more source

Series spaces derived from absolute Fibonacci summability and matrix transformations [PDF]

open access: yes, 2020
In this study we introduce a new series space | F?| (p) as the domain of a matrix corresponding to the absolute Fibonacci summability in the Maddox’s space l(p) and show that it is linearly isomorphic to the space l(p) and that it is an FK-space.
Sarıgöl, Mehmet Ali, Gökçe, Fadime
core   +1 more source

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