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Summability Factors for Generalized Absolute Summability. I
Proceedings of the London Mathematical Society, 1960openaire +2 more sources
On Absolute Riesz Summability Factors
Journal of the London Mathematical Society, 1964Borwein, D., Shawyer, B. L. R.
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Absolute Nörlund summability factors
2005Let \(\Sigma a_ n\) 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
1993The 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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