arXiv Analytics

Sign in

arXiv:1805.01462 [math.CA]AbstractReferencesReviewsResources

Monotonicity Properties and functional inequalities for the Volterra and incomplete Volterra functions

Khaled Mehrez, Sergei M. Sitnik

Published 2018-05-03Version 1

In this paper we prove some monotonicity, log--convexity and log--concavity properties for the Volterra and incomplete Volterra functions. Moreover, as consequences of these results, we present some functional inequalities (like Tur\'an type inequalities) as well as we determined sharp upper and lower bounds for the normalized incomplete Volterra functions in terms of weighted power means.

Related articles: Most relevant | Search more
arXiv:1301.1749 [math.CA] (Published 2013-01-09)
Inequalities and monotonicity properties for gamma and q-gamma functions
arXiv:0709.1126 [math.CA] (Published 2007-09-07, updated 2007-09-21)
Some Monotonicity Properties of Gamma and $q$-gamma Functions
arXiv:1210.0046 [math.CA] (Published 2012-09-28, updated 2015-09-07)
On functional inequalities for the psi function