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Tur\'an type inequalities for generalized inverse trigonometric functions
- Source :
- Filomat 29(2) (2015) 303-313
- Publication Year :
- 2013
-
Abstract
- In this paper we study the inverse of the eigenfunction $\sin_p$ of the one-dimensional $p$-Laplace operator and its dependence on the parameter $p$, and we present a Tur\'an type inequality for this function. Similar inequalities are given also for other generalized inverse trigonometric and hyperbolic functions. In particular, we deduce a Tur\'an type inequality for a series considered by Ramanujan, involving the digamma function.<br />Comment: 10 pages
- Subjects :
- Mathematics - Classical Analysis and ODEs
33C99, 33B99
Subjects
Details
- Database :
- arXiv
- Journal :
- Filomat 29(2) (2015) 303-313
- Publication Type :
- Report
- Accession number :
- edsarx.1305.0938
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.2298/FIL1502303B