On the conjecture of generalized trigonometric and hyperbolic functions

Abstract

In this paper we prove the conjecture posed by Klén et al. in \cite{kvz}, and give optimal inequalities for generalized trigonometric and hyperbolic functions.

arXiv comment6 pages

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