Mathematics – Classical Analysis and ODEs
Scientific paper
2011-01-20
Mathematics
Classical Analysis and ODEs
19 pages
Scientific paper
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.
Bhayo Barkat Ali
Vuorinen Matti
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