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Mappings Connected with Hermite-Hadamard Inequalities for Superquadratic Functions (CROSBI ID 545167)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Banić, Senka Mappings Connected with Hermite-Hadamard Inequalities for Superquadratic Functions // Mathematical inequalities and applications 2008 : conference in honour of Professor Josip Pečarić on the occasion of his 60th birthday : book of abstracts / Čižmešija, Aleksandra ; Varošanec, Sanja (ur.). Zagreb: Element, 2008. str. 35-35

Podaci o odgovornosti

Banić, Senka

engleski

Mappings Connected with Hermite-Hadamard Inequalities for Superquadratic Functions

We consider two mappings H, F:[0, 1]→ R connected with Hermite-Hadamard inequality and defined by integrals, which were introduced and considered by Y.J. Cho, M. Matić and J. Pečarić (Panamer. Math. J., 2002) for the convex integrand ϕ . Convexity and some other properties have been established for these two mappings. In distinction from the convex case, superquadracity is not hereditary. If ϕ is superquadratic function, mappings H and F are not superquadratic in general, but we established some other properties and inequalities which refine results of Cho, Matić and Pečarić. In the special case we get refinements of some results of S.S. Dragomir (J. Math. Anal. Appl., 1992)) and some results of M. Akkouchi (Facta Univ. Ser. Math. Inform., 2002)).

Hermite-Hadamard inequality; convex functions; superquadratic functions

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Podaci o prilogu

35-35.

2008.

objavljeno

Podaci o matičnoj publikaciji

Mathematical inequalities and applications 2008 : conference in honour of Professor Josip Pečarić on the occasion of his 60th birthday : book of abstracts

Čižmešija, Aleksandra ; Varošanec, Sanja

Zagreb: Element

Podaci o skupu

Mathematical Inequalities and Applications ; 2008

predavanje

08.06.2008-14.06.2008

Trogir, Hrvatska

Povezanost rada

Matematika