REFINEMENT OF FEJER INEQUALITY FOR CONVEX AND CO-ORDINATED CONVEX FUNCTIONS

被引:0
|
作者
Hsu, Kai-Chen [1 ]
机构
[1] Aletheia Univ Tamsui, Dept Business Adm, New Taipei 25103, Taiwan
关键词
Hadamard inequality; Fejer inequality; convex; co-ordinated convex; Euler's Beta function; RECTANGLE;
D O I
10.1515/ms-2017-0373
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we shall establish the co-ordinated convex function. It can connect to the right-hand side of Fejer inequality in two variables and thus a new refinement can be found. In addition, some applications to estimates for Euler's Beta function are also given in the end. (C) 2020 Mathematical Institute Slovak Academy of Sciences
引用
收藏
页码:585 / 598
页数:14
相关论文
共 50 条
  • [41] HERMITE-HADAMARD INEQUALITIES FOR CO-ORDINATED log-h-CONVEX FUNCTIONS
    Wang, Tingjing
    Feng, Mengjie
    Ruan, Jianmiao
    Shao, Bo
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (01): : 31 - 46
  • [42] Generalization and reverses of the left Fejer inequality for convex functions
    Dragomir, S. S.
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (06): : 3231 - 3244
  • [43] On inequalities of Simpson type for co-ordinated convex functions via generalized fractional integrals
    Kara, Hasan
    Budak, Huseyin
    Ali, Muhammad Aamir
    FILOMAT, 2023, 37 (08) : 2605 - 2631
  • [44] Quantum Hermite-Hadamard's Type Inequalities For Co-ordinated Convex Functions
    Alp, Necmettin
    Sarikaya, Mehmet Zeki
    APPLIED MATHEMATICS E-NOTES, 2020, 20 : 341 - 356
  • [45] Some Hadamard's inequalities for co-ordinated convex functions in a rectangle from the plane
    Hwang, Dah-Yan
    Tseng, Kuei-Lin
    Yang, Gou-Sheng
    TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (01): : 63 - 73
  • [46] Some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals
    Kalsoom, Humaira
    Budak, Huseyin
    Kara, Hasan
    Ali, Muhammad Aamir
    OPEN MATHEMATICS, 2021, 19 (01): : 1153 - 1186
  • [47] NEW INEQUALITIES FOR CO-ORDINATED CONVEX FUNCTIONS VIA RIEMANN-LIOUVILLE FRACTIONAL CALCULUS
    Mihai, Marcela V.
    TAMKANG JOURNAL OF MATHEMATICS, 2014, 45 (03): : 285 - 296
  • [48] NEW OSTROWSKI TYPE INEQUALITIES FOR CO-ORDINATED S-CONVEX FUNCTIONS IN THE SECOND SENSE
    Latif, Muhammad Amer
    Dragomir, Sever S.
    MATEMATICHE, 2012, 67 (01): : 57 - 72
  • [49] REFINEMENTS OF HERMITE-HADAMARD TYPE INEQUALITIES FOR DIFFERENTIABLE CO-ORDINATED CONVEX FUNCTIONS AND APPLICATIONS
    Hsu, Kai-Chen
    TAIWANESE JOURNAL OF MATHEMATICS, 2015, 19 (01): : 133 - 157
  • [50] Some new Hermite-Hadamard type inequalities for differentiable co-ordinated convex functions
    Guo, Xu-Yang
    Qi, Feng
    Xi, Bo-Yan
    COGENT MATHEMATICS, 2015, 2