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...
Elmentve itt :
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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 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 95-106 |
| ISSN: | 0001-6969 |