Turán type inequalities for generalized inverse trigonometric functions
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.
Main Authors
Format
Articles
Research article
Published
2015
Series
Subjects
Publication in research information system
Publisher
Department of Mathematics and Informatics, Faculty of Science and Mathematics, University of Niš
The permanent address of the publication
https://urn.fi/URN:NBN:fi:jyu-201607053489Use this for linking
Review status
Peer reviewed
ISSN
0354-5180
DOI
https://doi.org/10.2298/FIL1502303B
Language
English
Published in
Filomat
Citation
- Baricz, Á., Bhayo, B., & Vuorinen, M. (2015). Turán type inequalities for generalized inverse trigonometric functions. Filomat, 29(2), 303-313. https://doi.org/10.2298/FIL1502303B
License
Copyright© the Authors, 2015. This is an open access article published by Faculty of Sciences and Mathematics,
University of Nis, Serbia.