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Functional inequalities for the incomplete gamma function

Authors :
Alzer, Horst
Baricz, Árpád
Source :
Journal of Mathematical Analysis & Applications. Jan2012, Vol. 385 Issue 1, p167-178. 12p.
Publication Year :
2012

Abstract

Abstract: We present several inequalities for where is the incomplete gamma function. One of our theorems states that the inequalities hold for all nonnegative real numbers if and only if and . Here, denotes the power sum of order t. This extends and complements a result published by Ismail and Laforgia in 2006. [Copyright &y& Elsevier]

Subjects

Subjects :
*GAMMA functions
*MATHEMATICAL inequalities
*FUNCTIONALS
*REAL numbers
*MONOTONIC functions
*ARITHMETIC
*GEOMETRIC analysis
*HARMONIC analysis (Mathematics)

Details

Language :
English
ISSN :
0022247X
Volume :
385
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Mathematical Analysis & Applications
Publication Type :
Academic Journal
Accession number :
64869643
Full Text :
https://doi.org/10.1016/j.jmaa.2011.06.032
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