Pade approximant related to remarkable inequalities involving trigonometric functions

被引：31

作者：

Bercu, Gabriel ^{[1
]}

机构：

[1] Dunarea de Jos Univ Galati, Dept Math & Comp Sci, 111 Domneasc St, Galati 800201, Romania

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2016年

关键词：

Pade approximant; trigonometric inequalities; rational refinement; CUSA-HUYGENS; WILKER;

D O I：

10.1186/s13660-016-1044-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we, respectively, give simple proofs of some remarkable trigonometric inequalities, based on the Pade approximation method. We also obtain rational refinements of these inequalities. We are convinced that the Pade approximation method offers a general framework for solving many other similar inequalities.

引用

页数：11

共 15 条

[1]

[Anonymous], 2004, Applied inequalities

[2]

[Anonymous], 1969, AM MATH MON

[3] Sharpness of Wilker and Huygens type inequalities [J].