Abstract Convexity and Hermite-Hadamard Type Inequalities

Abstract Convexity and Hermite-Hadamard Type Inequalities

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 are general...

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Veröffentlicht in:Journal of inequalities and applications 2009-01, Vol.2009 (1), p.943534
Hauptverfasser: Adilov, Gabil R., Kemali, Serap
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Mathematics
Mathematics and Statistics
Research Article
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Beschreibung
Zusammenfassung: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 are generalized to . By considering a concrete area in , the derived inequalities are illustrated.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1155/2009/943534