| dc.contributor.author | Baricz, Árpád | |
| dc.contributor.author | Bhayo, Barkat | |
| dc.contributor.author | Vuorinen, Matti | |
| dc.date.accessioned | 2016-12-19T09:02:35Z | |
| dc.date.available | 2016-12-19T09:02:35Z | |
| dc.date.issued | 2015 | |
| dc.identifier.citation | Baricz, Á., Bhayo, B., & Vuorinen, M. (2015). Turán type inequalities for generalized inverse trigonometric functions. <i>Filomat</i>, <i>29</i>(2), 303-313. <a href="https://doi.org/10.2298/FIL1502303B" target="_blank">https://doi.org/10.2298/FIL1502303B</a> | |
| dc.identifier.other | CONVID_24716582 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/52426 | |
| dc.description.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. | |
| dc.language.iso | eng | |
| dc.publisher | Department of Mathematics and Informatics, Faculty of Science and Mathematics, University of Niš | |
| dc.relation.ispartofseries | Filomat | |
| dc.subject.other | Bernstein functions | |
| dc.subject.other | Completely monotone functions | |
| dc.subject.other | Eigenfunctions of p-Laplacian | |
| dc.subject.other | Generalized trigonometric function | |
| dc.subject.other | Log-concavity | |
| dc.subject.other | Log-convexity | |
| dc.subject.other | Turán-type inequalities | |
| dc.title | Turán type inequalities for generalized inverse trigonometric functions | |
| dc.type | research article | |
| dc.identifier.urn | URN:NBN:fi:jyu-201607053489 | |
| dc.contributor.laitos | Tietotekniikan laitos | fi |
| dc.contributor.laitos | Department of Mathematical Information Technology | en |
| dc.contributor.oppiaine | Tietotekniikka | fi |
| dc.contributor.oppiaine | Mathematical Information Technology | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.date.updated | 2016-07-05T12:15:52Z | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 303-313 | |
| dc.relation.issn | 0354-5180 | |
| dc.relation.numberinseries | 2 | |
| dc.relation.volume | 29 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © the Authors, 2015. This is an open access article published by Faculty of Sciences and Mathematics,
University of Nis, Serbia. | |
| dc.rights.accesslevel | openAccess | fi |
| dc.type.publication | article | |
| dc.relation.doi | 10.2298/FIL1502303B | |
| dc.type.okm | A1 | |
