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arXiv:1701.03971 [math.CA]AbstractReferencesReviewsResources

Some new inequalities for Generalized Mathieu type series and Riemann zeta functions

Khaled Mehrez, Živorad Tomovski

Published 2017-01-14Version 1

Our aim in this paper is to show some new inequalities for Mathieu's type series and Riemann zeta function. In particular, some Tur\'an type inequalities, some monotonicity and log-convexity results for these special functions are given. New Laplace type integral representations for Mathie type series and Riemann zeta function are also presented.

Categories: math.CA
Subjects: 33E20
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