INEQUALITIES FOR EIGENFUNCTIONS OF THE P-LAPLACIAN

Abstract

Motivated by the work of P. Lindqvist, we study eigenfunctions of the one-dimensional p-Laplace operator, the sinp functions, and prove several inequalities for these and p-analogues of other trigonometric functions and their inverse functions. Similar inequalities are given also for the p-analogues of the hyperbolic functions and their inverses.

Keywords

• EIGENFUNCTIONS OF P-LAPLACIAN
• SIN(P)
• GENERALIZED TRIGONOMETRIC FUNCTION