HERMITE-HADAMARD TYPE INEQUALITIES FOR THE PRODUCT OF (alpha, m)-CONVEX FUNCTIONS

被引:4
|
作者
Yin, Hong-Ping [1 ]
Qi, Feng [2 ]
机构
[1] Inner Mongolia Univ Nationalities, Coll Math, Tongliao City 028043, Inner Mongolia, Peoples R China
[2] Tianjin Polytech Univ, Coll Sci, Dept Math, Tianjin 300160, Peoples R China
关键词
Hermite-Hadamard type inequality; (alpha; m)-convex function; product; Holder's integral inequality;
D O I
10.35834/mjms/1449161369
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the paper, the authors establish some Hermite-Hadamard type inequalities for the product of two (alpha, m)-convex functions.
引用
收藏
页码:71 / 79
页数:9
相关论文
共 50 条
  • [1] Hermite-Hadamard type inequalities for the product of (α, m)-convex functions
    Yin, Hong-Ping
    Qi, Feng
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (03): : 231 - 236
  • [2] Hermite-Hadamard type inequalities for harmonically (α, m)-convex functions
    Iscan, Imdat
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2016, 45 (02): : 381 - 390
  • [3] Hermite-Hadamard type inequalities for m-convex and (α, m)-convex functions
    Ozcan, Serap
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01):
  • [4] Integral inequalities of Hermite-Hadamard type for the product of strongly logarithmically convex and other convex functions
    Wu, Ying
    Qi, Feng
    Niu, Da-Wei
    MAEJO INTERNATIONAL JOURNAL OF SCIENCE AND TECHNOLOGY, 2015, 9 (03) : 394 - 402
  • [5] Hermite-Hadamard type inequalities for the m- and (α, m)-geometrically convex functions
    Xi, Bo-Yan
    Bai, Rui-Fang
    Qi, Feng
    AEQUATIONES MATHEMATICAE, 2012, 84 (03) : 261 - 269
  • [6] Hermite-Hadamard type inequalities for the m- and (α, m)-logarithmically convex functions
    Bai, Rui-Fang
    Qi, Feng
    Xi, Bo-Yan
    FILOMAT, 2013, 27 (01) : 1 - 7
  • [7] Integral inequalities of Hermite-Hadamard type for (α, s)-convex and (α, s,m)-convex functions
    Xi, Bo-Yan
    Gao, Dan-Dan
    Qi, Feng
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, (44): : 499 - 510
  • [8] Some inequalities of Hermite-Hadamard type for functions whose second derivatives are (α, m)-convex
    Shuang, Ye
    Qi, Feng
    Wang, Yan
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (01): : 139 - 148
  • [9] Integral inequalities of Hermite-Hadamard type for (α, m)-GA-convex functions
    Ji, Ai-Ping
    Zhang, Tian-Yu
    Qi, Feng
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 18 (02) : 255 - 265
  • [10] INEQUALITIES OF HERMITE-HADAMARD TYPE FOR EXTENDED HARMONICALLY (s, m)-CONVEX FUNCTIONS
    He, Chun-Ying
    Xi, Bo-Yan
    Guo, Bai-Ni
    MISKOLC MATHEMATICAL NOTES, 2021, 22 (01) : 245 - 258