Order summability and almost convergence-Reference-Cited by-同舟云学术

Order summability and almost convergence

Published:1973 Issue:3 Volume:38 Page:548-552
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Bell Howard T.

Abstract

The object of this paper is to compare the summability methods of almost convergence and order summability. This is done by examining a method of summability which includes both methods. The main result is that every monotone Fourier effective matrix is strongly regular.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1973-038-03/S0002-9939-1973-0310489-8/S0002-9939-1973-0310489-8.pdf

Reference7 articles.

1. H. T. Bell, 𝒜-summability, Dissertation, Lehigh University, Bethlehem, Pa., 1971.

2. Fourier effectiveness and order summability;Jurkat, W. B.;J. Approximation Theory,1971

3. Inclusion theorems and order summability;Jurkat, W. B.;J. Approximation Theory,1971

4. Almost summable sequences;King, J. P.;Proc. Amer. Math. Soc.,1966

5. A contribution to the theory of divergent sequences;Lorentz, G. G.;Acta Math.,1948

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