Coordinated MT-(s1, s2)-Convex Functions and Their Integral Inequalities of Hermite-Hadamard Type

被引:0
作者
Mei, Hua [1 ]
Wan, Aying [2 ]
Guo, Bai-Ni [3 ]
机构
[1] Inner Mongolia Univ Nationalities, Coll Math & Phys, Tongliao 028043, Inner Mongolia, Peoples R China
[2] Hulunbuir Univ, Coll Math & Stat, Hulunbuir 021008, Inner Mongolia, Peoples R China
[3] Henan Polytech Univ, Sch Math & Informat, Jiaozuo 454010, Henan, Peoples R China
基金
中国国家自然科学基金;
关键词
CONVEX-FUNCTIONS;
D O I
10.1155/2021/5586377
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the paper, the authors introduce a new concept of MT-(s(1), s(2))-convex functions on the coordinates on the rectangle of the plane and establish some new Hermite-Hadamard-type inequalities for this kind of functions.
引用
收藏
页数:10
相关论文
共 13 条
  • [1] [Anonymous], 2013, INT J OPEN PROBLEMS, DOI DOI 10.12816/0006173
  • [2] [Anonymous], 2012, MT CONVEXITY
  • [3] On HT-convexity and Hadamard-type inequalities
    Bai, Shu-Ping
    Wang, Shu-Hong
    Qi, Feng
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [4] Breckner W. W., 1978, PUBL I MATH, V23, P13
  • [5] (m, n)-Harmonically polynomial convex functions and some Hadamard type inequalities on the co-ordinates
    Butt, Saad Ihsan
    Akdemir, Ahmet Ocak
    Nadeem, Muhammad
    Mlaiki, Nabil
    Iscan, Imdat
    Abdeljawad, Thabet
    [J]. AIMS MATHEMATICS, 2021, 6 (05): : 4677 - 4690
  • [6] Butt SI, 2020, J INEQUAL APPL, V2020, DOI 10.1186/s13660-020-02495-6
  • [7] SOME ITERATED FRACTIONAL q-INTEGRALS AND THEIR APPLICATIONS
    Cao, Jian
    Srivastava, H. M.
    Liu, Zhi-Guo
    [J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (03) : 672 - 695
  • [8] Dragomir S.S., 2000, Selected Topics on Hermite-Hadamard Inequalities and Applications
  • [9] On the Hadamard's inequality for convex functions on the co-ordinates in a rectangle from the plane
    Dragomir, SS
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2001, 5 (04): : 775 - 788
  • [10] Hudzik H., 1994, Aequationes Math, V48, P100, DOI DOI 10.1007/BF01837981