THE HADAMARD INEQUALITY FOR CONVEX FUNCTION VIA FRACTIONAL INTEGRALS

THE HADAMARD INEQUALITY FOR CONVEX FUNCTION VIA FRACTIONAL INTEGRALS

In this paper, we establish several inequalities for some differantiable mappings that are connected with the Riemann-Liouville fractional integrals. The analysis used in the proofs is fairly elementary.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Acta mathematica scientia 2013-09, Vol.33 (5), p.1293-1299
Hauptverfasser: AZDEMADGR, ME, RAGOMIR, S S, Yildiz, A
Format: Artikel
Sprache:eng
Schlagworte:
26A15
26A51
26D10
convex functions
Functions (mathematics)
Hadamard's inequality
Hadamard不等式
Inequalities
Integrals
Mapping
Mathematical analysis
power-mean inequality
Proving
Riemann-Liouville fractional integration
VIA
凸函数
分数
映射
海燕
积分
黎曼
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we establish several inequalities for some differantiable mappings that are connected with the Riemann-Liouville fractional integrals. The analysis used in the proofs is fairly elementary.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(13)60081-8