On generalized strongly modified h-convex functions

被引：13
|
作者：
Zhao, Taiyin [1 ]
Saleem, Muhammad Shoaib [2 ]
Nazeer, Waqas [3 ]
Bashir, Imran [2 ]
Hussain, Ijaz [2 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Informat & Software Engn, Chengdu, Peoples R China
[2] Univ Okara, Dept Math, Okara, Pakistan
[3] Govt Coll Univ, Dept Math, Lahore, Pakistan
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期
关键词：
h-convex function; Modified h-convex function; Schur-type inequality; Hermite-Hadamard inequality; Fejer-type inequality; INEQUALITIES;
D O I：
10.1186/s13660-020-2281-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive some properties and results for a new extended class of convex functions, generalized strongly modified h-convex functions. Moreover, we discuss Schur-type, Hermite-Hadamard-type, and Fejer-type inequalities for this class. The crucial fact is that this extended class has awesome properties similar to those of convex functions.
引用
收藏
页数：12
相关论文
共 50 条
  • [41] On Approximately Harmonic h-Convex Functions Depending on a Given Function
    Awan, Muhammad Uzair
    Noor, Muhammad Aslam
    Mihai, Marcela V.
    Noor, Khalida Inayat
    Akhtar, Nousheen
    FILOMAT, 2019, 33 (12) : 3783 - 3793
  • [42] SOME NEW INEQUALITIES FOR DIFFERENTIABLE h-CONVEX FUNCTIONS AND APPLICATIONS
    Cakmak, Musa
    Tunc, Mevlut
    Acem, Aysegul
    MISKOLC MATHEMATICAL NOTES, 2021, 22 (01) : 107 - 121
  • [43] 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
  • [44] Hermite-Hadamard type inequalities for generalized Riemann-Liouville fractional integrals of h-convex functions
    Dragomir, Silvestru Sever
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (03) : 2364 - 2380
  • [45] INEQUALITIES FOR MAPPINGS WHOSE SECOND DERIVATIVES ARE QUASI- CONVEX OR h-CONVEX FUNCTIONS
    Ozdemir, M. Emin
    Gurbuz, Mustafa
    Yildiz, Cetin
    MISKOLC MATHEMATICAL NOTES, 2014, 15 (02) : 635 - 649
  • [46] HERMITE-HADAMARD TYPE INEQUALITIES FOR RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS VIA STRONGLY h-CONVEX FUNCTIONS
    Xing, Yi
    Jiang, Chaoqun
    Ruan, Jianmiao
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2022, 16 (04): : 1309 - 1332
  • [47] Separability of H-convex sets
    Boltyanski, V
    Martini, H
    JOURNAL OF CONVEX ANALYSIS, 2005, 12 (01) : 131 - 137
  • [48] EXTREMAL H-CONVEX BODIES
    BRONSHTEIN, EM
    SIBERIAN MATHEMATICAL JOURNAL, 1979, 20 (02) : 295 - 297
  • [49] H-convex Riemannian submanifolds
    Udriste, Constantin
    Oprea, Teodor
    BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS, 2008, 13 (02): : 112 - 119
  • [50] Some Inequalities Related to Interval-Valued ηh-Convex Functions
    Chen, Lei
    Saleem, Muhammad Shoaib
    Zahoor, Muhammad Sajid
    Bano, Rahat
    JOURNAL OF MATHEMATICS, 2021, 2021
12345