Integral inequalities for coordinated Harmonically convex functions

被引：31
|
作者：
Noor, Muhammad Aslam [1 ]
Noor, Khalida Inayat [1 ]
Awan, Muhammad Uzair [1 ]
机构：
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
来源：
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2015年 / 60卷 / 06期
关键词：
26A51; 26D15; convex functions; coordinates; Hermite-Hadamard inequality; Harmonically convex; HERMITE-HADAMARD INEQUALITIES;
D O I：
10.1080/17476933.2014.976814
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we introduce the notion of coordinated harmonically convex functions. We derive some new integral inequalities of Hermite-Hadamard type for coordinated Harmonically convex functions. The interested readers are encouraged to find the applications of harmonically convex functions in pure and applied sciences.
引用
收藏
页码：776 / 786
页数：11
相关论文
共 50 条
  • [31] k-FRACTIONAL INTEGRAL INEQUALITIES FOR HARMONICALLY CONVEX FUNCTIONS VIA CAPUTO k-FRACTIONAL DERIVATIVES
    Waheed, Asif
    Farid, Ghulam
    Rehman, Atiq Ur
    Ayub, Waqas
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 10 (01): : 55 - 67
  • [32] GENERALIZED HERMITE-HADAMARD TYPE INEQUALITIES FOR DIFFERENTIABLE HARMONICALLY-CONVEX AND HARMONICALLY QUASI-CONVEX FUNCTIONS
    Latif, Muhammad Amer
    Hussain, Sabir
    Chu, Yu-Ming
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (02): : 755 - 766
  • [33] 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
  • [34] Some integral inequalities for coordinated log-h-convex interval-valued functions
    Shi, Fangfang
    Ye, Guoju
    Zhao, Dafang
    Liu, Wei
    AIMS MATHEMATICS, 2022, 7 (01): : 156 - 170
  • [35] Hermite-Hadamard type inequalities for harmonically (α, m)-convex functions
    Iscan, Imdat
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2016, 45 (02): : 381 - 390
  • [36] INTEGRAL INEQUALITIES FOR GENERALIZED CONCAVE OR CONVEX FUNCTIONS
    BORELL, C
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 43 (02) : 419 - 440
  • [37] On a new class of convex functions and integral inequalities
    Shanhe Wu
    Muhammad Uzair Awan
    Muhammad Aslam Noor
    Khalida Inayat Noor
    Sabah Iftikhar
    Journal of Inequalities and Applications, 2019
  • [38] Fejer-Type Inequalities for Harmonically Convex Functions and Related Results
    Amer Latif, Muhammad
    SYMMETRY-BASEL, 2023, 15 (08):
  • [39] Trapezoidal Type Fejer Inequalities Related to Harmonically Convex Functions and Application
    Turhan, Sercan
    JOURNAL OF FUNCTION SPACES, 2019, 2019
  • [40] Tempered Fractional Integral Inequalities for Convex Functions
    Rahman, Gauhar
    Nisar, Kottakkaran Sooppy
    Abdeljawad, Thabet
    MATHEMATICS, 2020, 8 (04)
12345