An extension of the integral test

Authors
Duran, AL Estrada, R
Citation
Al. Duran et R. Estrada, An extension of the integral test, P AM MATH S, 127(6), 1999, pp. 1745-1751
Citations number
11
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
127
Issue
6
Year of publication
1999
Pages
1745 - 1751
Database
ISI
SICI code
0002-9939(199906)127:6<1745:AEOTIT>2.0.ZU;2-O
Abstract
We identify a class of functions for which an extension of the well known i ntegral test holds, namely, the series Sigma(k=1)(infinity) phi(k) is Cesar o summable if and only if the integral integral(1)(infinity) phi(x) dx is. We also give the corresponding multidimensional results.