ON WEIGHTED GENERALIZATION OF THE HERMITE-HADAMARD INEQUALITY

被引:7
作者
Jaksic, Rozarija [1 ]
Kvesic, Ljiljanka [2 ]
Pecaric, Josip [1 ]
机构
[1] Univ Zagreb, Fac Text Technol, Zagreb 41000, Croatia
[2] Univ Mostar, Fac Sci & Educ, Mostar 88000, Bosnia & Herceg
来源
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2015年 / 18卷 / 02期
关键词
Hermite-Hadamard's inequality; generalized Hermite-Hadamard's inequality; convex functions; positive linear functionals;
D O I
10.7153/mia-18-49
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The results obtained in this paper are a correction of the main results obtained in [14], for which we also give an alternative proof and improvement. We also study some new monotonic conditions under which various generalizations of the Hermite-Hadamard inequality are valid. Furthermore, we give an improvement of the obtained results.
引用
收藏
页码:649 / 665
页数:17
相关论文
共 14 条
  • [1] ALZER H., 1985, J MATH ANAL APPL, V110, P536
  • [2] EXTENSIONS OF THE HERMITE-HADAMARD INEQUALITY WITH APPLICATIONS
    Bakula, M. Klaricic
    Pecaric, J.
    Peric, J.
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2012, 15 (04): : 899 - 921
  • [3] On the converse Jensen inequality
    Bakula, M. Klaricic
    Pecaric, J.
    Peric, J.
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (11) : 6566 - 6575
  • [4] Dragomir S. S., 1995, Soochow J. Math., V21, P335
  • [5] Fejer L., 1906, Math. Naturwiss, Anz. Ungar. Akad. Wiss., V24, P369
  • [6] Hadamard's inequality for r-convex functions
    Gill, PM
    Pearce, CEM
    Pecaric, J
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 215 (02) : 461 - 470
  • [7] Jessen B., 1931, Matematisk Tidsskrift B, V2, P17
  • [8] LACKOVIC I. B., AEQUATIONES MATH, V28, P229
  • [9] Mitrinovi DS, 1993, E EUROPEAN SERIES, V61
  • [10] Pecaric J. E., 1992, Mathematics in Science and Engineering, V187