Pregled bibliografske jedinice broj: 674671
Generalizations and improvements of converse Jensen's inequality for convex hulls in R^k
Generalizations and improvements of converse Jensen's inequality for convex hulls in R^k // MATHEMATICAL INEQUALITIES & APPLICATIONS, 17 (2013), 1125-1137 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 674671 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalizations and improvements of converse Jensen's inequality for convex hulls in R^k
Autori
Pečarić, Josip ; Perić, Jurica
Izvornik
MATHEMATICAL INEQUALITIES & APPLICATIONS (1331-4343) 17
(2013);
1125-1137
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jessen’s inequality; Lah-Ribarič inequality; convex functions; convex hull; k - simplex; barycentric coordinates; Hermite-Hadamard inequality
Sažetak
In this paper we prove generalizations and improvements of Lah-Ribarič and related inequalities for convex functions on convex hulls in R^k and, analogously, for convex functions on k-simplices in R^k . We also verify that one of them is a generalization and an improvement of the Hermite-Hadamard inequality for simplices.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
177-1170889-1287 - Konveksne funkcije i primjene (Matić, Marko, MZOS ) ( CroRIS)
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
