Bounds for complete elliptic integrals of the first kind

被引：27

作者：

Andras, Szilard ^{[2
]}

Baricz, Arpad ^{[1
]}

机构：

[1] Univ Babes Bolyai, Dept Econ, Cluj Napoca 400591, Romania

[2] Univ Babes Bolyai, Dept Appl Math, Cluj Napoca 400084, Romania

来源：

EXPOSITIONES MATHEMATICAE | 2010年 / 28卷 / 04期

关键词：

Hypergeometric function; Elliptic integrals; Wallis' inequality; Bounds; FUNCTIONAL INEQUALITIES;

D O I：

10.1016/j.exmath.2009.12.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note by using some elementary computations we present some new sharp lower and upper bounds for the complete elliptic integrals of the first kind. These results improve some known bounds in the literature and are deduced from the well-known Wallis inequality, which has been studied extensively in the last 10 years. (C) 2009 Elsevier GmbH. All rights reserved.

引用

页码：357 / 364

页数：8

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