Results 11 to 20 of about 194 (177)
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), 141â146.
Ekrem Savaş
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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 Absolute Cesàro Summability
Journal of Inequalities and Applications, 2009 Denote by 𝒜k the sequence space defined by 𝒜k={(sn):∑n=1∞nk−1|an|k<∞,an=sn−sn−1} for k≥1. In a recent paper by E. Savaş and H.
Hamdullah Şevli +1 more
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A generalization of a theorem of Bor
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 +1 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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Generalization of the space l(p) $l(p)$ derived by absolute Euler summability and matrix operators
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
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