Inequalities for the gamma and q-gamma functions

Authors:
Horst Alzer;Arcadii Z. Grinshpan
Affiliations:
Morsbacher Str. 10, 51545 Waldbröl, Germany;Department of Mathematics, University of South Florida, Tampa, FL 33620-5700, USA
Venue:
Journal of Approximation Theory
Year:
2007

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Abstract

We present several sharp inequalities for the classical gamma and q-gamma functions. Some inequalities involve the psi function and its q-analogue. Our results improve, complement, and generalize some known (nonsharp) estimates.