Results 31 to 40 of about 314 (230)
A New Study on Generalized Absolute Matrix Summability
, 2016 In this paper, a general theorem on vertical bar A, p(n); delta vertical bar(k) summability factors, which generalizes a theorem of Bor [4] on vertical bar(N) over bar, p(n)vertical bar(k) summability factors, has been proved by using almost increasing sequences.
Hikmet Özarslan
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On |A|k summability factors of infinite series; pp. 201–206 [PDF]
Proceedings of the Estonian Academy of Sciences, 2010 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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On the absolute matrix summability of a Fourier series [PDF]
Pacific Journal of Mathematics, 1972 Aribindi Satyanarayan Rao
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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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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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Absolute matrix summability methods
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ARI, Tuba, ÖZARSLAN, Hikmet
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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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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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