Asymptotic double subseries-Reference-Cited by-同舟云学术

Asymptotic double subseries

Published:2022 Issue:126 Volume:112 Page:143-150
ISSN:0350-1302
Container-title:Publications de l'Institut Math?matique (Belgrade)
language:en
Short-container-title:Publ Inst Math (Belgr)

Author:

Patterson Richard¹,Srivastava H.M.²,Savaş Ekrem³

Affiliation:

1. Department of Mathematics and Statistics, University of North Florida, Jacksonville, Florida, USA

2. Department of Mathematics and Statistics, University of Victoria, British Columbia, Canada

3. Department of Mathematics, Uşak University, Uşak, Turkey

Abstract

In 1964 Salat presented a notion of asymptotic density of single dimensional subseries. Using this notion he presented a series of theorems similar to the following. If dn be a decreasing sequence such that lim infn ndn > 0 and let the subseries (x) = ?? k=1 ?k(x)dk of the series ?? k=1 dk be convergent, then p(x) = limn p(n,x)/n=0. Following Salat?s patten, we present a notion of double subseries and a natural variation of Salat?s theorem.

Publisher

National Library of Serbia

Subject

General Mathematics

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