SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR DIFFERENTIABLE CONVEX FUNCTIONS AND APPLICATIONS

被引:0
作者
Xi, Bo-Yan [1 ]
Qi, Feng [2 ,3 ]
机构
[1] Inner Mongolia Univ Nationalities, Coll Math, Tongliao City 028043, Inner Mongolia, Peoples R China
[2] Tianjin Polytech Univ, Sch Sci, Dept Math, Tianjin 300387, Peoples R China
[3] Henan Polytech Univ, Sch Math & Informat, Jiaozuo City 454010, Henan Province, Peoples R China
来源
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2013年 / 42卷 / 03期
关键词
Integral inequality; Hermite-Hadamard integral inequality; Convex function; Mean; Application; REAL NUMBERS; MAPPINGS; (ALPHA;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the paper, the authors offer some new inequalities for differentiable convex functions, which are connected with Hermite-Hadamard integral inequality, and apply these inequalities to special means of two positive numbers.
引用
收藏
页码:243 / 257
页数:15
相关论文
共 12 条
  • [1] [Anonymous], 2012, ANALYSIS-UK
  • [2] Hermite-Hadamard type inequalities for the m- and (α, m)-logarithmically convex functions
    Bai, Rui-Fang
    Qi, Feng
    Xi, Bo-Yan
    [J]. FILOMAT, 2013, 27 (01) : 1 - 7
  • [3] Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula
    Dragomir, SS
    Agarwal, RP
    [J]. APPLIED MATHEMATICS LETTERS, 1998, 11 (05) : 91 - 95
  • [4] On Simpson's inequality and applications
    Dragomir, SS
    Agarwal, RP
    Cerone, P
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2000, 5 (06) : 533 - 579
  • [5] Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula
    Kirmaci, US
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 147 (01) : 137 - 146
  • [6] Mitrinovic D. S., 1970, Analytic Inequalities
  • [7] Inequalities for differentiable mappings with application to special means and quadrature formulae
    Pearce, CEM
    Pecaric, J
    [J]. APPLIED MATHEMATICS LETTERS, 2000, 13 (02) : 51 - 55
  • [8] Generalizations and refinements of Hermite-Hadamard's inequality
    Qi, F
    Wei, ZL
    Yang, Q
    [J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2005, 35 (01) : 235 - 251
  • [9] Bounds for the Ratio of Two Gamma Functions
    Qi, Feng
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [10] Wang S.-H., 2012, INT J OPEN PROBLEMS, V5, P47, DOI DOI 10.12816/0006138