Properties of h -convex functions related to the Hermite–Hadamard–Fejér inequalities

In this paper we prove the Hermite–Hadamard–Fejér inequalities for an h -convex function and we point out the results for some special classes of functions. Also, some generalization of the Hermite–Hadamard inequalities and some properties of functions H and F which are naturally joined to the h -co...

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Bibliographic Details
Published in:	Computers & mathematics with applications (1987) Vol. 58; no. 9; pp. 1869 - 1877
Main Authors:	Bombardelli, Mea, Varošanec, Sanja
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.11.2009
Subjects:	[formula omitted]-convex function [formula omitted]-logarithmic mean Convex function Hermite–Hadamard–Fejér inequalities Mean of order [formula omitted] h -convex function p -logarithmic mean Convex function Hermite–Hadamard–Fejér inequalities Mean of order p
ISSN:	0898-1221, 1873-7668
Online Access:	Get full text
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Summary:	In this paper we prove the Hermite–Hadamard–Fejér inequalities for an h -convex function and we point out the results for some special classes of functions. Also, some generalization of the Hermite–Hadamard inequalities and some properties of functions H and F which are naturally joined to the h -convex function are given. Finally, applications on p -logarithmic mean and mean of the order p are obtained.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0898-1221 1873-7668
DOI:	10.1016/j.camwa.2009.07.073