A1 Refereed original research article in a scientific journal

Turan Type Inequalities for Generalized Inverse Trigonometric Functions




AuthorsBaricz A, Bhayo BA, Vuorinen M

PublisherUniv Nis, Fac Sci Math

Publication year2015

JournalFilomat

Journal name in sourceFILOMAT

Journal acronymFilomat

Volume29

Issue2

First page 303

Last page313

Number of pages11

ISSN0354-5180

DOIhttps://doi.org/10.2298/FIL1502303B

Web address http://www.doiserbia.nb.rs/Article.aspx?ID=0354-51801502303B#.VqDE6EY70lk


Abstract

In this paper we study the inverse of the eigenfunction sinp of the one-dimensional p-Laplace operator and its dependence on the parameter p, and we present a Turan type inequality for this function. Similar inequalities are given also for other generalized inverse trigonometric and hyperbolic functions. In particular, we deduce a Turan type inequality for a series considered by Ramanujan, involving the digamma function.




Last updated on 2024-26-11 at 22:32