TWO CLASSES OF BOUNDS FOR THE q-GAMMA AND THE q-DIGAMMA FUNCTIONS IN TERMS OF THE q-ZETA FUNCTIONS

被引：18

作者：

Salem, Ahmed ^{[1
]}

机构：

[1] October 6 Univ, Dept Basic Sci, Fac Informat Syst & Comp Sci, Giza, Egypt

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2014年 / 8卷 / 01期

关键词：

Hurwitz and Riemann q-zeta functions; q-Gamma and q-digamma functions; inequality; Taylor theorem; MONOTONIC FUNCTIONS; Q-ANALOGS; INEQUALITIES;

D O I：

10.15352/bjma/1381782091

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, two infinite classes of inequalities for the q-gamma and the q-digamma functions are established by means of using the Taylor theorem. The bounds appeared in these inequalities are in terms of the Hurwitz and Riemann q-zeta functions.

引用

页码：109 / 117

页数：9

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