INEQUALITIES VIA GENERALIZED h-CONVEX FUNCTIONS

被引：2
|
作者：
Noor, M. A. [1 ]
Noor, K., I [1 ]
Safdar, F. [1 ]
机构：
[1] COMSATS Univ Islamabad, Pk Rd, Islamabad, Pakistan
来源：
PROBLEMY ANALIZA-ISSUES OF ANALYSIS | 2018年 / 7卷 / 02期
关键词：
Generalized convex functions; generalized h-convex functions; Hermite-Hadamard-Fejer type inequalities; Toader-like convex function;
D O I：
10.15393/j3.art.2018.4991
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the paper, we establish some new Hermite-Hadamard-Fejer type inequalities via generalized h-convex functions, Toader-like convex functions and their variant forms. Several special cases are also discussed. Results proved in this paper can be viewed as significant new contributions in this field.
引用
收藏
页码：112 / 130
页数：19
相关论文
共 50 条
  • [21] New Hadamard Type Inequalities for Modified h-Convex Functions
    Breaz, Daniel
    Yildiz, Cetin
    Cotirla, Luminita-Ioana
    Rahman, Gauhar
    Yergoz, Busra
    FRACTAL AND FRACTIONAL, 2023, 7 (03)
  • [22] SOME NEW INEQUALITIES FOR DIFFERENTIABLE h-CONVEX FUNCTIONS AND APPLICATIONS
    Cakmak, Musa
    Tunc, Mevlut
    Acem, Aysegul
    MISKOLC MATHEMATICAL NOTES, 2021, 22 (01) : 107 - 121
  • [23] Hermite–Hadamard-type inequalities for the interval-valued approximately h-convex functions via generalized fractional integrals
    Dafang Zhao
    Muhammad Aamir Ali
    Artion Kashuri
    Hüseyin Budak
    Mehmet Zeki Sarikaya
    Journal of Inequalities and Applications, 2020
  • [24] Some integral inequalities for harmonic h-convex functions involving hypergeometric functions
    Mihai, Marcela V.
    Noor, Muhammad Aslam
    Noor, Khalida Inayat
    Awan, Muhammad Uzair
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 252 : 257 - 262
  • [25] LOCAL FRACTIONAL OSTROWSKI-TYPE INEQUALITIES INVOLVING GENERALIZED h-CONVEX FUNCTIONS AND SOME APPLICATIONS FOR GENERALIZED MOMENTS
    Sun, Wenbing
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2021, 29 (01)
  • [26] Some Inequalities Related to Interval-Valued ηh-Convex Functions
    Chen, Lei
    Saleem, Muhammad Shoaib
    Zahoor, Muhammad Sajid
    Bano, Rahat
    JOURNAL OF MATHEMATICS, 2021, 2021
  • [27] On Approximately h-Convex Functions
    Burai, Pal
    Hazy, Attila
    JOURNAL OF CONVEX ANALYSIS, 2011, 18 (02) : 447 - 454
  • [28] Milne-type inequalities for third differentiable and h-convex functions
    Benaissa, Bouharket
    Budak, Huseyin
    BOUNDARY VALUE PROBLEMS, 2025, 2025 (01):
  • [29] Some Hermite–Hadamard Type Inequalities for h-Convex Functions and their Applications
    Hatice Öğülmüş
    Mehmet Zeki Sarıkaya
    Iranian Journal of Science and Technology, Transactions A: Science, 2020, 44 : 813 - 819
  • [30] Continuity of h-convex functions
    Delavar, M. Rostamian
    Dragomir, S. S.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2019, 12 (04)
12345