Refinements of Hermite-Hadamard Inequalities for Functions When a Power of the Absolute Value of the Second Derivative Is P-Convex

Refinements of Hermite-Hadamard Inequalities for Functions When a Power of the Absolute Value of the Second Derivative Is P-Convex

We extend some estimates of the right-hand side of Hermite-Hadamard-type inequalities for functions whose second derivatives absolute values are P-convex. Applications to some special means are considered.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of Applied Mathematics 2012-01, Vol.2012 (2012), p.1368-1377-485
Hauptverfasser: Barani, A., Dragomir, Sever Silvestru, Barani, S.
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Convex analysis
Derivatives
Estimates
Inequalities
Inequality
Mathematical analysis
Mathematics
Studies
Theorems
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We extend some estimates of the right-hand side of Hermite-Hadamard-type inequalities for functions whose second derivatives absolute values are P-convex. Applications to some special means are considered.
ISSN:1110-757X
1687-0042
DOI:10.1155/2012/615737