Results 21 to 30 of about 388 (219)
On |A|k summability factors of infinite series; pp. 201–206 [PDF]
In an earlier paper (Rhoades, B. E. and SavaÅ, E. Some necessary conditions for absolute matrix summability factors. Indian J. Pure Appl. Math., 2002, 33(7), 1003â1009) the authors obtained necessary conditions for the series â an to be absolutely ...
B. E. Rhoades, Ekrem Savaş
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A Generalized Theorem on Double Absolute Factorable Matrix Summability [PDF]
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
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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On double summability methods $\left| \mathcal{A}_{f}\right| _{k}$ and $\left| C,0,0\right|_{s}$
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
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
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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Some New Results on Absolute Summability Factors [PDF]
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
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Absolute matrix summability via almost increasing sequence [PDF]
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
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An Application of Absolute Matrix Summability using Almost Increasing and delta-quasi-monotone Sequences [PDF]
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
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Series spaces derived from absolute Fibonacci summability and matrix transformations [PDF]
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
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