Abstract

The author here studies the convexity and concavity properties of the generalized $p$-trigonometric functions in the sense of P. Lindqvist with respect to the Power Mean.

Keywords: Eigenfunctions $\sin_p$; Power Mean; generalized trigonometric functions.

MSC: 33C99, 33B99

Pages:  17$-$25     

Volume  67 ,  Issue  1 ,  2015