Turán type inequalities for generalized inverse trigonometric functions
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
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FilomatDate
2015Copyright
© the Authors, 2015. This is an open access article published by Faculty of Sciences and Mathematics,
University of Nis, Serbia.
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.
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Department of Mathematics and Informatics, Faculty of Science and Mathematics, University of NišISSN Search the Publication Forum
0354-5180Keywords
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