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Inequalities for eigenfunctions of the $p$Laplacian

# Inequalities for eigenfunctions of the $p$Laplacian,Barkat Ali Bhayo,Matti Vuorinen

Inequalities for eigenfunctions of the $p$Laplacian
Motivated by the work of P. Lindqvist, we study eigenfunctions of the one-dimensional $p$-Laplace operator, the $\sin_p$ 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.