An extension of the Hermite-Hadamard inequality
In this paper we prove a generalization of the classical HermiteHadamard inequality for convex (concave) functions extending it to n different nodes, without using any further restrictions on the function. We use the concept of iterated integrals of / to effect our purpose. Moreover we apply the mai...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2008
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| Sorozat: | Acta scientiarum mathematicarum
74 No. 1-2 |
| Kulcsszavak: | Matematika, Hermite-Hadamard egyenlőtlenség |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16227 |
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| 100 | 1 | |a Retkes Zoltán | |
| 245 | 1 | 3 | |a An extension of the Hermite-Hadamard inequality |h [elektronikus dokumentum] / |c Retkes Zoltán |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2008 | ||
| 300 | |a 95-106 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 74 No. 1-2 | |
| 520 | 3 | |a In this paper we prove a generalization of the classical HermiteHadamard inequality for convex (concave) functions extending it to n different nodes, without using any further restrictions on the function. We use the concept of iterated integrals of / to effect our purpose. Moreover we apply the main result to the function family f(u) = ua (a > 0) and useful identities for sums and products are given. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika, Hermite-Hadamard egyenlőtlenség | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/16227/1/math_074_numb_001_002_095-106.pdf |z Dokumentum-elérés |