Abstract Convexity and Hermite-Hadamard Type Inequalities
JOURNAL OF INEQUALITIES AND APPLICATIONS, vol.2009, 2009 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 2009
- Publication Date: 2009
- Doi Number: 10.1155/2009/943534
- Journal Name: JOURNAL OF INEQUALITIES AND APPLICATIONS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Open Archive Collection: AVESIS Open Access Collection
- Akdeniz University Affiliated: Yes
Abstract
The deriving Hermite-Hadamard type inequalities for certain classes of abstract convex functions are considered totally, the inequalities derived for some of these classes before are summarized, new inequalities for others are obtained, and for one class of these functions the results on R-l(2) are generalized to R-n(+). By considering a concrete area in R-n(++), the derived inequalities are illustrated. Copyright (C) 2009 G. R. Adilov and S. Kemali. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.