Results 21 to 30 of about 2,185,961 (226)
A Generalized Theorem on Double Absolute Factorable Matrix Summability [PDF]
, 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
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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
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A NEW APPLICATION OF ABSOLUTE MATRIX SUMMABILITY
Mathematical Sciences and Applications E-Notes, 2015 The summability of a matrix \( A = (a_{n vu}) \) is studied. The main result states that if \( A \) is a positive normal matrix and if some conditions are satified, then the series \( \sum a_{n}\lambda_{n}\) are summable \( | A, p_{n}|_{k} \), \( k \geq 1 \).
ÖZARSLAN, Hikmet Seyhan +1 more
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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
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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
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On Multipliers for the Absolute Matrix Summability
Journal 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.
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On Indexed Absolute Matrix Summability of an Infinite Series [PDF]
, 2018 Some results have been established on absolute index Riesz summability factor of an infinite series. Furthermore, these kind of results can be extended by taking other parameters and an absolute index matrix summability factor of an infinite series or ...
Mishra, Lakshmi N. +4 more
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Noninclusion theorems: some remarks on a paper by J. A. Fridy
International Journal of Mathematics and Mathematical Sciences, 2000 In 1997, J. A. Fridy gave conditions for noninclusion of ordinary and of absolute summability domains. In the present note, these conditions are interpreted in a natural topological context thus giving new proofs and also explaining why one of these ...
W. Beekmann
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Transpose of Nörlund matrices on the domain of summability matrices
Journal of Inequalities and Applications, 2019 Let E=(En,k)n,k≥0 $E=(E_{n,k})_{n,k\geq 0}$ be an invertible summability matrix with bounded absolute row sums and column sums, and let Ep $E_{p}$ denote the domain of E in the sequence space ℓp $\ell _{p}$ (1 ...
Gholamreza Talebi
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Some absolutely effective product methods
International Journal of Mathematics and Mathematical Sciences, 1992 It is proved that the product method A(C,1), where (C,1) is the Cesàro arithmetic mean matrix, is totally effective under certain conditions concerning the matrix A.
H. P. Dikshit, J. A. Fridy
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