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
来源：
MISSOURI JOURNAL OF MATHEMATICAL SCIENCES | 2015年 / 27卷 / 01期
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
  • [41] Hermite-Hadamard type inequalities for operator convex functions on the co-ordinates
    Wang, ShuHong
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (03): : 1116 - 1125
  • [42] INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR HARMONIC (h, s)-CONVEX FUNCTIONS
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Iftikhar, Sabah
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2016, 11 (01): : 61 - 69
  • [43] Integral inequalities of Hermite-Hadamard type for GA-F-convex functions
    Shuang, Ye
    Qi, Feng
    AIMS MATHEMATICS, 2021, 6 (09): : 9582 - 9589
  • [44] Some Hermite-Hadamard type inequalities for geometrically quasi-convex functions
    Qi, Feng
    Xi, Bo-Yan
    PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2014, 124 (03): : 333 - 342
  • [45] SOME QUANTUM ESTIMATES OF HERMITE-HADAMARD INEQUALITIES FOR CONVEX FUNCTIONS
    Liu, Wenjun
    Zhuang, Hefeng
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2017, 7 (02): : 501 - 522
  • [46] Fractional Hermite-Hadamard inequalities for (s, m)-convex or s-concave functions
    Lian, Tieyan
    Tang, Wei
    Zhou, Rui
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [47] HERMITE-HADAMARD TYPE INEQUALITIES FOR PREINVEX FUNCTIONS WITH APPLICATIONS
    Singh, Shiwani
    Mishra, Shashi kant
    Singh, Vandana
    Kumar, Pankaj
    Budak, Huseyin
    KOREAN JOURNAL OF MATHEMATICS, 2025, 33 (01): : 71 - 74
  • [48] Integral Inequalities of Hermite-Hadamard Type for Extended s-Convex Functions and Applications
    Shuang, Ye
    Qi, Feng
    MATHEMATICS, 2018, 6 (11):
  • [49] INEQUALITIES OF HERMITE-HADAMARD TYPE FOR EXTENDED s-CONVEX FUNCTIONS AND APPLICATIONS TO MEANS
    Xi, Bo-Yan
    Qi, Feng
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (05) : 873 - 890
  • [50] ON INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR COORDINATED r-MEAN CONVEX FUNCTIONS
    Gao, Dan-Dan
    Xi, Bo-Yan
    Wu, Ying
    Guo, Bai-Ni
    MISKOLC MATHEMATICAL NOTES, 2019, 20 (02) : 873 - 885
12345