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Journal of the London Mathematical Society, 1970
Irwin, R. L., Peterson, G. E.
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Irwin, R. L., Peterson, G. E.
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Absolute Cesàro summability factors
2002The author intends to generalize a theorem concerning \(|C,1|_k\) summability factors to \(|C,\alpha, \beta, \delta|_k\) summability using \(\delta\)-quasi-monotone sequences. Unfortunately his Lemma 3 is not correct, consequently the proof of the theorem is not complete. The author will publish a correction soon (personal information).
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Absolute Summability Factors in a Sequence
Canadian Mathematical Bulletin, 1984AbstractLet α≥0 and β>— 1. The main result gives necessary and sufficient conditions for the sequence (εn) in order that the sequence (εnUn) will be absolutely summable by the Cesàro method Cβ for each sequence (Un) which is bounded or summable by the method CαAnother theorem is proven when Cα and Cβ are replaced by triangular methods A = (ank) and ...
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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).]openaire +3 more sources
Absolute matrix summability via almost increasing sequence
Quaestiones Mathematicae, 2020Hikmet Seyhan Özarslan +1 more
exaly
A new factor theorem on absolute matrix summability method
Journal of Applied Analysis, 2022Assoc Dr Şebnem Yıldız
exaly
Generalized absolute matrix summability of infinite series and Fourier series
Indian Journal of Pure and Applied Mathematics, 2022Hikmet Seyhan Özarslan
exaly
A new factor theorem for absolute matrix summability
Quaestiones Mathematicae, 2019Hikmet Seyhan Özarslan
exaly

