Some new inequalities for Generalized Mathieu type series and Riemann zeta functions
Classical Analysis and ODEs
2017-01-17 v1
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.
Keywords
Cite
@article{arxiv.1701.03971,
title = {Some new inequalities for Generalized Mathieu type series and Riemann zeta functions},
author = {Khaled Mehrez and Živorad Tomovski},
journal= {arXiv preprint arXiv:1701.03971},
year = {2017}
}