Inequalities involving modified Bessel functions of the first kind II

被引：19

作者：

Baricz, Arpad

Neuman, Edward

机构：

[1] So Illinois Univ, Dept Math, Carbondale, IL 62901 USA

[2] Univ Babes Bolyai, Fac Math & Comp Sci, RO-400084 Cluj Napoca, Romania

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 332卷 / 01期

关键词：

modified Bessel functions of the first kind; logarithmic convexity (concavity); inequalities;

D O I：

10.1016/j.jmaa.2006.10.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The intrinsic properties, including logarithmic convexity (concavity), of the modified Bessel functions of the first kind and some other related functions are obtained. Several inequalities involving functions under discussion are established. (c) 2006 Elsevier Inc. All rights reserved,

引用

页码：265 / 271

页数：7

共 9 条

[1]

ABNRAMOWITZ M, 1965, HDB MATH FUNCTIONS F

[2]

AMOS DE, 1974, MATH COMPUT, V28, P239, DOI 10.1090/S0025-5718-1974-0333287-7

[3] Functional inequalities for the quotients of hypergeometric functions [J].