Generalized integral inequalities for convex functions on the co-ordinates

被引:1
作者
Butt, Saad Ihsan [1 ]
Kashuri, Artion [2 ]
Nadeem, Muhammad [1 ]
机构
[1] COMSATS Univ Islamabad, Lahore Campus, Lahore, Pakistan
[2] Univ Ismail Qemali, Fac Tech Sci, Dept Math, Vlora 9400, Albania
关键词
Hermite-Hadamard inequality; Hermite-Hadamard-Fejer inequality; coordinated convex function; generalized convex function; Raina's function; HERMITE-HADAMARD TYPE; FEJER-TYPE INEQUALITIES;
D O I
10.32513/tmj/19322008144
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The aim of this paper is to establish some new inequalities of Hermite-Hadamard and Fejer type using generalized h-convex and generalized (h(1), h(2))-convex functions on the co-ordinates. Some known results are recaptured from our results as special cases.
引用
收藏
页码:81 / 94
页数:14
相关论文
共 23 条
  • [11] 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
  • [12] Fejr L., 1906, Anz Ungar. Akad. Wiss., V24, P369
  • [13] SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES AND THEIR APPLICATIONS
    Kashuri, Artion
    Liko, Rozana
    [J]. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2019, 56 (01) : 103 - 142
  • [14] Kunt M., 2017, Arab J. Math. Sci, V23, P215, DOI DOI 10.1016/J.AJMSC.2016.11.001
  • [15] On new inequalities of Hermite-Hadamard-Fejer type for harmonically convex functions via fractional integrals
    Kunt, Mehmet
    Iscan, Imdat
    Yazici, Nazli
    Gozutok, Ugur
    [J]. SPRINGERPLUS, 2016, 5
  • [16] Latif MA, 2017, INT J ANAL APPL, V13, P1
  • [17] Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals
    Liu, Wenjun
    Wen, Wangshu
    Park, Jaekeun
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03): : 766 - 777
  • [18] Raina R.K., 2005, East Asian Math. J, V21, P191
  • [19] Generalized Hermite-Hadamard type inequalities involving fractional integral operators
    Set, Erhan
    Noor, Muhammed Aslam
    Awan, Muhammed Uzair
    Gozpinar, Abdurrahman
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,
  • [20] FEJER-TYPE INEQUALITIES (II)
    Tseng, Kuei-Lin
    Hwang, Shiow-Ru
    Dragomir, Sever S.
    [J]. MATHEMATICA SLOVACA, 2017, 67 (01) : 109 - 120