Baricz, Árpád and Bhayo, Barkat Ali and Vuorinen, Matti (2015) Turán type inequalities for generalized inverse trigonometric functions. FILOMAT, 29 (2). pp. 303-313. ISSN 0354-5180
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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 Turán type inequality for this function. Similar inequalities are given also for other generalized inverse trigonometric and hyperbolic functions. In particular, we deduce a Turán type inequality for a series considered by Ramanujan, involving the digamma function
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA74 Analysis / analízis |
| Depositing User: | Arpad Baricz |
| Date Deposited: | 22 Sep 2015 08:13 |
| Last Modified: | 22 Sep 2015 08:13 |
| URI: | http://real.mtak.hu/id/eprint/27183 |
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