Pregled bibliografske jedinice broj: 910663
Improvements of the Hermite-Hadamard inequality for the simplex
Improvements of the Hermite-Hadamard inequality for the simplex // Journal of inequalities and applications, 2017 (2017), 3, 12 doi:10.1186/s13660-016-1273-z (međunarodna recenzija, članak, znanstveni)
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Naslov
Improvements of the Hermite-Hadamard inequality for the simplex
Autori
Pavić, Zlatko
Izvornik
Journal of inequalities and applications (1025-5834) 2017
(2017);
3, 12
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
convex combination ; simplex ; the Hermite-Hadamard inequality
Sažetak
In this study, the simplex whose vertices are barycenters of the given simplex facets plays an essential role. The article provides an extension of the Hermite-Hadamard inequality from the simplex barycenter to any point of the inscribed simplex except its vertices. A two-sided refinement of the generalized inequality is achieved in completion of this work.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
