Mappings Connected with Hermite-Hadamard Inequalities for Superquadratic Functions (CROSBI ID 545167)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
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