数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (5): 1293-1299.doi: 10.1016/S0252-9602(13)60081-8

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THE HADAMARD INEQUALITY FOR CONVEX FUNCTION VIA FRACTIONAL INTEGRALS

M.E. OZDEMIR, S.S. DRAGOMIR, C. YILDIZ*   

  1. 1. Department of Mathematics, K.K. Education Faculty, Atat¨urk University, 25240, Kampus, Erzurum, Turkey;
    2. School of Engineering &|Science, Victoria University, P.O. Box 14428, Melbourne City, Vic 8001, Australia
  • 收稿日期:2012-02-22 修回日期:2012-03-29 出版日期:2013-09-20 发布日期:2013-09-20
  • 通讯作者: C. YILDIZ,yildizc@atauni.edu.tr E-mail:emos@atauni.edu.tr; yildizc@atauni.edu.tr; Sever.Dragomir@vu.edu.au

THE HADAMARD INEQUALITY FOR CONVEX FUNCTION VIA FRACTIONAL INTEGRALS

M.E. OZDEMIR, S.S. DRAGOMIR, C. YILDIZ*   

  1. 1. Department of Mathematics, K.K. Education Faculty, Atat¨urk University, 25240, Kampus, Erzurum, Turkey;
    2. School of Engineering &|Science, Victoria University, P.O. Box 14428, Melbourne City, Vic 8001, Australia
  • Received:2012-02-22 Revised:2012-03-29 Online:2013-09-20 Published:2013-09-20
  • Contact: C. YILDIZ,yildizc@atauni.edu.tr E-mail:emos@atauni.edu.tr; yildizc@atauni.edu.tr; Sever.Dragomir@vu.edu.au

摘要:

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.

关键词: Hadamard´s inequality, convex functions, power-mean inequality, Riemann-Liouville fractional integration

Abstract:

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.

Key words: Hadamard´s inequality, convex functions, power-mean inequality, Riemann-Liouville fractional integration

中图分类号: 

  • 26A15