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arXiv · 1701.03971

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

Khaled Mehrez·Živorad Tomovski
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Abstract

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.

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Khaled Mehrez, Živorad Tomovski. 2017-01-14. Some new inequalities for Generalized Mathieu type series and Riemann zeta functions. https://arxiv.org/abs/1701.03971

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