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

Rupali Shinde; Christophe Chesneau; Nitin Darkunde

doi:10.56754/0719-0646.2603.431

DOI:

https://doi.org/10.56754/0719-0646.2603.431

Abstract

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.

Keywords

Trigonometric inequalities , series expansion , open problems

Mathematics Subject Classification:

26D05 , 26D07

Rupali Shinde School of Mathematical Sciences, SRTM University Nanded, India. https://orcid.org/0000-0002-8203-2940
Christophe Chesneau Department of Mathematics, LMNO, University of Caen, 14032 Caen, France. https://orcid.org/0000-0002-1522-9292
Nitin Darkunde School of Mathematical Sciences, SRTM University Nanded, India. https://orcid.org/0000-0003-3096-0531

Pages: 431–442
Date Published: 2024-10-15
Vol. 26 No. 3 (2024)

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