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Extending tests for convergence of number series

Authors :
Liflyand, E.
Tikhonov, S.
Zeltser, M.
Source :
Journal of Mathematical Analysis & Applications. May2011, Vol. 377 Issue 1, p194-206. 13p.
Publication Year :
2011

Abstract

Abstract: Analyzing several classical tests for convergence/divergence of number series, we relax the monotonicity assumption for the sequence of terms of the series. We verify the sharpness of the obtained results on corresponding classes of sequences and functions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0022247X
Volume :
377
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Mathematical Analysis & Applications
Publication Type :
Academic Journal
Accession number :
57377864
Full Text :
https://doi.org/10.1016/j.jmaa.2010.10.007