Applying GG-Convex Function to Hermite-Hadamard Inequalities Involving Hadamard Fractional Integrals

Applying GG-Convex Function to Hermite-Hadamard Inequalities Involving Hadamard Fractional Integrals

By virtue of fractional integral identities, incomplete beta function, useful series, and inequalities, we apply the concept of GG-convex function to derive new type Hermite-Hadamard inequalities involving Hadamard fractional integrals. Finally, some applications to special means of real numbers are...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:International Journal of Mathematics and Mathematical Sciences 2014-01, Vol.2014 (2014), p.48-67
Hauptverfasser: Zhang, Zhi, Deng, JianHua, Wang, JinRong
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applied mathematics
Convex functions
Functions (mathematics)
Inequalities
Inequalities (Mathematics)
Integrals
Mathematical analysis
Mathematics
Real numbers
Trigonometry
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:By virtue of fractional integral identities, incomplete beta function, useful series, and inequalities, we apply the concept of GG-convex function to derive new type Hermite-Hadamard inequalities involving Hadamard fractional integrals. Finally, some applications to special means of real numbers are demonstrated.
ISSN:0161-1712
1687-0425
DOI:10.1155/2014/136035