Convexity and q-gamma function

被引：1

作者：

Elezović N. ^{[1
]}

Giordano C. ^{[2
]}

Pečarić J. ^{[3
]}

机构：

[1] Department of Applied Mathematics, Faculty of Electrical Engineering and Computing, 10000 Zagreb

[2] Dipartimento di Matematica, Università di Torino, 10123 Torino, Via Carlo Alberto

[3] Faculty of Textile Technology, University of Zagreb, 10000 Zagreb

来源：

Rendiconti del Circolo Matematico di Palermo | 1999年 / 48卷 / 2期

关键词：

Convexity; q-Gamma function;

D O I：

10.1007/BF02857304

中图分类号：

学科分类号：

摘要：

Inequalities and convexity properties known for the gamma function are extended to the q-gamma function, 0 > q > 1. Applying some classical inequalities for convex functions, we deduce monotonicity results for several functions involving the q-gamma function. Further applications to the probability theory are given. © 1999 Springer.

引用

页码：285 / 298

页数：13

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