English

Convexity properties of generalized trigonometric and hyperbolic functions

Classical Analysis and ODEs 2016-05-30 v2

Abstract

We study the power mean inequality of the generalized trigonometric and hyperbolic functions with two parameters. The generalized pp-trigonometric and (p,q)(p, q)-trigonometric functions were introduced by P. Lindqvist and S. Takeuchi, respectively.

Keywords

Cite

@article{arxiv.1301.0699,
  title  = {Convexity properties of generalized trigonometric and hyperbolic functions},
  author = {Árpád Baricz and Barkat Ali Bhayo and Riku Klén},
  journal= {arXiv preprint arXiv:1301.0699},
  year   = {2016}
}

Comments

9 pages, 1 figure

R2 v1 2026-06-21T23:03:55.623Z