DC pole | Wartość | Język |
dc.contributor.author | Szostok, Tomasz | - |
dc.date.accessioned | 2020-02-26T09:11:44Z | - |
dc.date.available | 2020-02-26T09:11:44Z | - |
dc.date.issued | 2015 | - |
dc.identifier.citation | Aequationes mathematicae, Vol. 89, no. 3 (2015), s 915-926 | pl_PL |
dc.identifier.issn | 0001-9054 | - |
dc.identifier.issn | 1420-8903 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.12128/12799 | - |
dc.description.abstract | Using the Ohlin lemma on convex stochastic ordering we prove inequalities of the Hermite–Hadamard type. Namely, we determine all numbers a,α,β∈[0,1] such that for all convex functions f the inequality
af(αx+(1−α)y)+(1−a)f(βx+(1−β)y)≤1y−x∫xyf(t)dt
is satisfied and all a,b,c,α∈(0,1) with a + b + c = 1 for which we have
af(x)+bf(αx+(1−α)y)+cf(y)≥1y−x∫xyf(t)dt | pl_PL |
dc.language.iso | en | pl_PL |
dc.rights | Uznanie autorstwa 3.0 Polska | * |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/pl/ | * |
dc.subject | Convex functions | pl_PL |
dc.subject | Hermite–Hadamard inequalities | pl_PL |
dc.title | Ohlin’s lemma and some inequalities of the Hermite–Hadamard type | pl_PL |
dc.type | info:eu-repo/semantics/article | pl_PL |
dc.identifier.doi | 10.1007/s00010-014-0286-2 | - |
Pojawia się w kolekcji: | Artykuły (WNŚiT)
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