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Convexity andq-gamma function |
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| Authors: | N. Elezović C. Giordano J. Pečarić |
| Affiliation: | (1) Department of Applied Mathematics, Faculty of Electrical Engineering and Computing, Unska 3, 10000 Zagreb, Croatia;(2) Dipartimento di Matematica, Università di Torino, Via Carlo Alberto, 10, 10123 Torino, Italia;(3) Faculty of Textile Technology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, Croatia |
| Abstract: | Inequalities and convexity properties known for the gamma function are extended to theq-gamma function, 0<q<1. Applying some classical inequalities for convex functions, we deduce monotonicity results for several functions involving theq-gamma function. Further applications to the probability theory are given. |
| Keywords: | KeywordHeading" >1991 Mathematics Subject Classification 33D05 |
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