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Pregled bibliografske jedinice broj: 288130

Časopis

Autori: Klaričić Bakula, Milica; Pečarić, Josip; Ribičić, Mihaela
Naslov: Companion inequalities to Jensen's inequality for m-convex and (alpha, m)-convex functions
( Companion inequalities to Jensen's inequality for m-convex and (alpha, m)-convex functions )
Izvornik: Journal of Inequalities in Pure and Applied Mathematics (1443-5756) 7 (2006), 5; 1-32
Vrsta rada: članak
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
( 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.
Projekt / tema: 177-1170889-1287, 117-1170889-0888, 235-2352818-1034
Izvorni jezik: eng
Rad je indeksiran u
bazama podataka:
Scopus
Kategorija: Znanstveni
Znanstvena područja:
Matematika
URL Internet adrese: http://jipam.vu.edu.au
URL cjelovitog teksta:
Google Scholar: Companion inequalities to Jensen's inequality for m-convex and (alpha, m)-convex functions



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