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Companion inequalities to Jensen's inequality for m-convex and (alpha, m)-convex functions


Klaričić Bakula, Milica; Pečarić, Josip; Ribičić, Mihaela
Companion inequalities to Jensen's inequality for m-convex and (alpha, m)-convex functions // Journal of Inequalities in Pure and Applied Mathematics, 7 (2006), 5; 1-32 (međunarodna recenzija, članak, znanstveni)


Naslov
Companion inequalities to Jensen's inequality for m-convex and (alpha, m)-convex functions

Autori
Klaričić Bakula, Milica ; Pečarić, Josip ; Ribičić, Mihaela

Izvornik
Journal of Inequalities in Pure and Applied Mathematics (1443-5756) 7 (2006), 5; 1-32

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
M-convex functions; (alpha; m)-convex functions; Jensen's inequality; Slater's inequality; Hermite-Hadamard's inequalities; Giaccardi's inequality; Fejér's inequalities

Sažetak
General companion inequalities related to Jensen's inequality for the classes of m-convex and (alpha, m)-convex functions are presented. We show how Jensen's inequality for these two classes, as well as Slater's inequality, can be obtained from these general companion inequalities as special cases. We also present several variants of the converse Jensen's inequality, weighted Hermit-Hadamard's inequalities and inequalities of Giaccardi and Petrović for these two classes of functions.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
117-1170889-0888 - Generalne nejednakosti i primjene (Josip Pečarić, )
177-1170889-1287 - Konveksne funkcije i primjene (Marko Matić, )
235-2352818-1034 - Nelinearni problemi procjene parametara u matematičkim modelima (Dragan Jukić, )

Ustanove
Prehrambeno-biotehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split,
Sveučilište u Osijeku, Odjel za matematiku

Časopis indeksira:


  • Scopus


Uključenost u ostale bibliografske baze podataka:


  • Mathematical Reviews