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STRONG CESÀRO SUMMABILITY FACTORS

The Quarterly Journal of Mathematics, 1970
Kuttner, Brian, Maddox, I. J.
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General Summability Factor Theorems and Applications

Sarajevo Journal of Mathematics
We obtain sufficient and (different) necessary conditions for the series $\sum a_{n}$, which is absolutely summable of order $k$ by a triangular matrix method $A$, to be such that $\sum a_{n}\lambda_n$ is absolutely summable of order $k$ by a triangular matrix $B$. As corollaries we obtain a number of inclusion theorems.
Rhoades, B. E., Savaş, Ekrem
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Summability factors for generalized absolute summability. II

Summary: A new theorem concerning the characterization of absolute summability factors has been proved. [For Part I and III see ibid. 31--39 (2001; Zbl 1078.40501) and 47--52 (2001; Zbl 1078.40502).]
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Summability Factors

Proceedings of the London Mathematical Society, 1969
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Summability Factors for Generalized Absolute Summability. I

Proceedings of the London Mathematical Society, 1960
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A Summability Factor Theorem

Journal of the London Mathematical Society, 1950
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On Strong Riesz Summability Factors

Journal of the London Mathematical Society, 1965
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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On Absolute Riesz Summability Factors

Journal of the London Mathematical Society, 1964
Borwein, D., Shawyer, B. L. R.
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