数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (4): 1643-1652.doi: 10.1016/S0252-9602(11)60350-0

• 论文 • 上一篇    

SOME INEQUALITIES OF HERMITE–HADAMARD TYPE FOR s-CONVEX FUNCTIONS

Mohammad W. Alomari*|Maslina Darus|Uˇgur S. Kirmaci   

  1. Department of Sciences, Faculty of Sciences, Jerash University, 26150 Jerash, Jordan School of Mathematical Sciences, Universiti Kebangsaan Malaysia, Malaysia Department of Mathematics, K.K. Education Faculty, Atat¨urk University, Turkey
  • 收稿日期:2009-04-17 修回日期:2010-05-14 出版日期:2011-07-20 发布日期:2011-07-20
  • 通讯作者: Mohammad W. Alomari E-mail:mwomath@gmail.com; maslina@ukm.my; kirmaci@atauni.edu.tr
  • 基金资助:

    The first author the financial support of Universiti Kebangsaan Malaysia, Faculty of Science and Technology (UKM–GUP–TMK–07–02–107).

SOME INEQUALITIES OF HERMITE–HADAMARD TYPE FOR s-CONVEX FUNCTIONS

Mohammad W. Alomari*|Maslina Darus|Uˇgur S. Kirmaci   

  1. Department of Sciences, Faculty of Sciences, Jerash University, 26150 Jerash, Jordan School of Mathematical Sciences, Universiti Kebangsaan Malaysia, Malaysia Department of Mathematics, K.K. Education Faculty, Atat¨urk University, Turkey
  • Received:2009-04-17 Revised:2010-05-14 Online:2011-07-20 Published:2011-07-20
  • Contact: Mohammad W. Alomari E-mail:mwomath@gmail.com; maslina@ukm.my; kirmaci@atauni.edu.tr
  • Supported by:

    The first author the financial support of Universiti Kebangsaan Malaysia, Faculty of Science and Technology (UKM–GUP–TMK–07–02–107).

摘要:

In this paper several inequalities of the left-hand side of Hermite-Hadamard’s inequality are obtained for s-convex functions.

关键词: convex function, s-convex function, Hadamard’s inequality

Abstract:

In this paper several inequalities of the left-hand side of Hermite-Hadamard’s inequality are obtained for s-convex functions.

Key words: convex function, s-convex function, Hadamard’s inequality

中图分类号: 

  • 26D15