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The ratio between the tail of a series and its approximating integral.

Research output: Contribution to journalJournal article

Published

Journal publication date1/04/2003
JournalJournal of Inequalities in Pure and Applied Mathematics
Journal number2
Volume4
Number of pages12
Pages1-12
Original languageEnglish

Abstract

For a strictly positive function , let and , assumed convergent. If is increasing, then is decreasing and is increasing. If is increasing, then is decreasing. Under suitable conditions, analogous results are obtained for the ``continuous tail'' defined by : these results apply, in particular, to the Hurwitz zeta function.

Bibliographic note

Copyright 2003 Journal of Inequalities in Pure and Applied Mathematics. RAE_import_type : Journal article RAE_uoa_type : Pure Mathematics