On absolute weighted mean summability
type: Item
instance of: scholarly article
title: On absolute weighted mean summability
zbMATH Open document ID: 0799.40003
published in: Rocky Mountain Journal of Mathematics
publication date: 1994-11-16T00:00:00Z
review text: Using functional analytic techniques, the authors obtain the necessary and sufficient conditions in order that the series \(\sum a_ n\) should be summable \(| R, q_ n |_ k\), \(k \geq 1\), whenever it is summable \(| R, p_ n |\). The results contained in this paper extend the known results of \textit{L. S. Bosanquet} [published in the review in M. R. 11, 654 (1950) of the subsequently cited paper] and that of \textit{G. Sunouchi} [Tohoku Math. J., II. Ser. 1, 57-65 (1949; Zbl 0041.391)] to the case \(k>1\).
Mathematics Subject Classification ID: 40D25
Mathematics Subject Classification ID: 40F05
zbMATH DE Number: 515175
zbMATH Keywords: absolute summability
zbMATH Keywords: direct theorems of summability
author: C. Orhan
author: Mehmet Ali Sarıgöl
reviewed by: Y. Sitaraman
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1216/rmjm/1181072543
OpenAlex ID: W1998102060
cites work: The Summability of Laplace-Stieltjes Integrals (II)
cites work: Q5587964
cites work: Q3976962
cites work: Necessary and sufficient conditions for the equivalence of the summability methods \(| \overline{N}, p_n|_ k\) and \(| C,1|_k\)
cites work: Notes on Fourier analysis. XVIII. Absolute summability of series with constant terms
DOI: 10.1216/RMJM/1181072543
description: scientific article; zbMATH DE number 515175