On the Raşa Inequality for Higher Order Convex Functions
| dc.contributor.author | Komisarski, Andrzej | |
| dc.contributor.author | Rajba, Teresa | |
| dc.date.accessioned | 2021-11-19T09:24:18Z | |
| dc.date.available | 2021-11-19T09:24:18Z | |
| dc.date.issued | 2021 | |
| dc.identifier.citation | Komisarski, A., Rajba, T. On the Raşa Inequality for Higher Order Convex Functions. Results Math 76, 103 (2021). https://doi.org/10.1007/s00025-021-01417-2 | pl_PL |
| dc.identifier.issn | 1422-6383 | |
| dc.identifier.uri | http://hdl.handle.net/11089/39806 | |
| dc.description.abstract | We study the following (q−1)th convex ordering relation for qth convolution power of the difference of probability distributions μ and ν (ν−μ)∗q≥(q−1)cx0,q≥2, and we obtain the theorem providing a useful sufficient condition for its verification. We apply this theorem for various families of probability distributions and we obtain several inequalities related to the classical interpolation operators. In particular, taking binomial distributions, we obtain a new, very short proof of the inequality given recently by Abel and Leviatan (2020). | pl_PL |
| dc.language.iso | en | pl_PL |
| dc.publisher | Springer Nature | pl_PL |
| dc.relation.ispartofseries | Results in Mathematics;76: 103 | |
| dc.rights | Uznanie autorstwa-Użycie niekomercyjne 4.0 Międzynarodowe | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ | * |
| dc.subject | Inequalities related to stochastic convex orderings | pl_PL |
| dc.subject | higher order stochastic convex orderings | pl_PL |
| dc.subject | functional inequalities related to convexity | pl_PL |
| dc.title | On the Raşa Inequality for Higher Order Convex Functions | pl_PL |
| dc.type | Article | pl_PL |
| dc.page.number | 12 | pl_PL |
| dc.contributor.authorAffiliation | Faculty of Mathematics and Computer Science University of Łódź ul. Banacha 22 90-238 Łódź Poland | pl_PL |
| dc.contributor.authorAffiliation | Department of Mathematics University of Bielsko-Biała ul. Willowa 2 43-309 Bielsko-Biała Poland | pl_PL |
| dc.identifier.eissn | 1420-9012 | |
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| dc.contributor.authorEmail | andkom@math.uni.lodz.pl | pl_PL |
| dc.contributor.authorEmail | trajba@ath.bielsko.pl | pl_PL |
| dc.identifier.doi | 10.1007/s00025-021-01417-2 | |
| dc.discipline | matematyka | pl_PL |
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