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Turán type inequalities for Krätzel functions

Authors :
Baricz, Árpád
Jankov, Dragana
Pogány, Tibor K.
Source :
Journal of Mathematical Analysis & Applications. Apr2012, Vol. 388 Issue 2, p716-724. 9p.
Publication Year :
2012

Abstract

Abstract: Complete monotonicity, Laguerre and Turán type inequalities are established for the so-called Krätzel function , defined by where and . Moreover, we prove the complete monotonicity of a determinant function of which entries involve the Krätzel function. [Copyright &y& Elsevier]

Subjects

Subjects :
*MATHEMATICAL functions
*MATHEMATICAL inequalities
*LAGUERRE geometry
*MONOTONE operators
*PROOF theory
*MATHEMATICAL analysis

Details

Language :
English
ISSN :
0022247X
Volume :
388
Issue :
2
Database :
Academic Search Index
Journal :
Journal of Mathematical Analysis & Applications
Publication Type :
Academic Journal
Accession number :
70233510
Full Text :
https://doi.org/10.1016/j.jmaa.2011.09.057
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