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Monotonicity properties and functional inequalities for the Volterra and incomplete Volterra functions.

Authors :
Mehrez, Khaled
Sitnik, Sergei M.
Source :
Integral Transforms & Special Functions. Nov2018, Vol. 29 Issue 11, p875-892. 18p.
Publication Year :
2018

Abstract

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 Turán type inequalities) as well as we determined sharp upper and lower bounds for the normalized incomplete Volterra functions in terms of weighted power means. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10652469
Volume :
29
Issue :
11
Database :
Academic Search Index
Journal :
Integral Transforms & Special Functions
Publication Type :
Academic Journal
Accession number :
131778843
Full Text :
https://doi.org/10.1080/10652469.2018.1512107