Solutions of two open problems on inequalities involving trigonometric and hyperbolic functions

被引：0

作者：

Shinde, Rupali ^{[1
]}

Chesneau, Christophe ^{[2
]}

Darkunde, Nitin ^{[1
]}

机构：

[1] SRTM Univ, Sch Math Sci, Nanded, India

[2] Univ Caen, Dept Math, LMNO, F-14032 Caen, France

来源：

CUBO-A MATHEMATICAL JOURNAL | 2024年 / 26卷 / 03期

关键词：

Trigonometric inequalities; series expansion; open problems;

D O I：

10.56754/0719-0646.2603.431

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In 2019, Bagul et al . posed two open problems dealing with inequalities involving trigonometric and hyperbolic functions and an adjustable parameter. This article is an attempt to solve these open problems. The results are supported by three-dimensional graphics, taking into account the variation of the parameter involved.

引用

页码：431 / 442

页数：12

共 15 条

[1]

Abramowitz M., 1964, HDB MATH FUNCTIONS F

[2]

Bagul Y. J., 2019, Int. J. Open Problems Compt. Math., V12, P15

[3] Polynomial-Exponential Bounds for Some Trigonometric and Hyperbolic Functions [J].