Logarithmic mean inequality for generalized trigonometric and hyperbolic functions

Abstract

In this paper we study the convexity and concavity properties of generalized trigonometric and hyperbolic functions in case of Logarithmic mean.

arXiv comment8

References in corpus (3)

• On Jordan type inequalities for hyperbolic functions
• Generalized elliptic functions and their application to a nonlinear eigenvalue problem with $p$-Laplacian
• Geometric convexity of the generalized sine and the generalized hyperbolic sine