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Summability Factors for Generalized Absolute Summability. I

Proceedings of the London Mathematical Society, 1960
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On Absolute Riesz Summability Factors

Journal of the London Mathematical Society, 1964
Borwein, D., Shawyer, B. L. R.
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Absolute Nörlund summability factors

2005
Let \(\Sigma a_ n\) be a given infinite series with the sequence of partial sums \(\{s_ n\}\). Let \(\{p_ n\}\) be a sequence of constants real or complex, and let us write \(P_ n=p_ 0+p_ 1+\cdots+p_ n\neq 0\), \((n\geq 0)\). The sequence-to-sequence transformation \(\omega_ n={1\over P_ n}\sum^ n_{\nu=0}p_{n-\nu}s_ \nu\) defines the sequence ...
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Absolute Cesàro summability factors

1993
The author proves a theorem on \(|C,1 |_k\) \((k\geq 1)\) summability factors of an infinite series. This includes, as a special case, for \(r_n=1\), a theorem of \textit{K. N. Mishra} and \textit{R. S. L. Srivastava} [Port. Math. 42 (1983/84), 53-61 (1984; Zbl 0597.40003)]. He also uses it to derive a result for \(|N, p_n |_k\) summability.
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Some equivalence theorems on absolute summability methods

Acta Mathematica Hungarica, 2016
Hüseyin Bor
exaly  

On application of matrix summability to Fourier series

Mathematical Methods in the Applied Sciences, 2018
Assoc Dr Şebnem Yıldız
exaly  

A summability factor theorem for a generalized absolute Cesàro summability

Mathematical and Computer Modelling, 2011
Dansheng Yu
exaly  

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