INEQUALITIES INVOLVING GENERALIZED TRIGONOMETRIC AND HYPERBOLIC FUNCTIONS
By
Nitin Darkunde and Sanjay Ghodechor
School of Mathematical Sciences, Swami Ramanand Teerth Marathwada University, Nanded, Maharashtra, India-431606.
Email: darkundenitin@gmail.com, sghodechor@gmail.com
(Received: April 28, 2023; In format : May 24, 2023; Revised: December 07, 2023; Accepted: December 15, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53236
Abstract
Trigonometric and Hyperbolic inequalities, which have been obtained by C. Huygens[5], D. S. Mitrinovic[10] and many more, have attracted attention of several researchers. We oer several renements and generalization of few trigonometric and hyperbolic inequalities involving tangent function, cotangent function, sine function, secant function and cosecant function. The established results are obtained with the aid of the Schwab-Borchardt mean.
2020 Mathematical Sciences Classification: 26D05, 26D15, 26D20.
Keywords and Phrases: Hyperbolic function, Trigonometric function.