A1 Refereed original research article in a scientific journal
Turan Type Inequalities for Generalized Inverse Trigonometric Functions
Authors: Baricz A, Bhayo BA, Vuorinen M
Publisher: Univ Nis, Fac Sci Math
Publication year: 2015
Journal: Filomat
Journal name in source: FILOMAT
Journal acronym: Filomat
Volume: 29
Issue: 2
First page : 303
Last page: 313
Number of pages: 11
ISSN: 0354-5180
DOI: https://doi.org/10.2298/FIL1502303B
Web address : http://www.doiserbia.nb.rs/Article.aspx?ID=0354-51801502303B#.VqDE6EY70lk
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.