On the conjecture of generalized trigonometric and hyperbolic functions
Barkat Ali Bhayo, Li Yin
TL;DR
This paper proves a conjecture related to generalized trigonometric and hyperbolic functions and establishes optimal inequalities for these functions.
Contribution
It confirms a conjecture by Klén et al. and derives the best possible inequalities for generalized trigonometric and hyperbolic functions.
Findings
Conjecture by Klén et al. is proven.
Optimal inequalities for generalized functions are established.
Provides theoretical bounds for these functions.
Abstract
In this paper we prove the conjecture posed by Kl\'en et al. in \cite{kvz}, and give optimal inequalities for generalized trigonometric and hyperbolic functions.
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Taxonomy
TopicsMathematical Inequalities and Applications · Differential Equations and Boundary Problems · Mathematical functions and polynomials