Inequalities for the generalized trigonometric functions with respect to weighted power mean

Abstract

The generalized trigonometric functions occur as an eigenfunction of the Dirichlet problem for the one-dimensional pp-Laplacian. In this study, the authors investigate some weighted power mean inequalities for the pp-generalized trigonometric functions with certain conditions on the parameters pp, λ\lambda .

Keywords

• generalized trigonometric functions
• weighted power mean
• inequality
• 26e60
• 26d05