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
Julkaistu sarjassa
FilomatPäivämäärä
2015Tekijänoikeudet
© 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.
Julkaisija
Department of Mathematics and Informatics, Faculty of Science and Mathematics, University of NišISSN Hae Julkaisufoorumista
0354-5180Asiasanat
Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/24716582
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