SOME QUANTUM ESTIMATES OF HERMITE-HADAMARD INEQUALITIES FOR CONVEX FUNCTIONS

被引：79
|
作者：
Liu, Wenjun [1 ]
Zhuang, Hefeng [1 ]
机构：
[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2017年 / 7卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Convex functions; Hermite-Hadamard inequality; Holder integral inequality; Quantum estimate; INTEGRAL-INEQUALITIES; QUASI-CONVEXITY; (ALPHA;
D O I：
10.11948/2017031
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, based on a new quantum integral identity, we establish some quantum estimates of Hermite-Hadamard type inequalities for convex functions. These results generalize and improve some known results given in literatures.
引用
收藏
页码：501 / 522
页数：22
相关论文
共 50 条
  • [21] SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR DIFFERENTIABLE CONVEX FUNCTIONS AND APPLICATIONS
    Xi, Bo-Yan
    Qi, Feng
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2013, 42 (03): : 243 - 257
  • [22] The Hermite-Hadamard inequalities for p-convex functions
    Eken, Zeynep
    Kemali, Serap
    Tinaztepe, Gultekin
    Adilov, Gabil
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (05): : 1268 - 1279
  • [23] On extensions and refinements of Hermite-Hadamard inequalities for convex functions
    Wang, LC
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2003, 6 (04): : 659 - 666
  • [24] GENERALIZED HERMITE-HADAMARD INEQUALITIES FOR (α, η, γ, δ ) - p CONVEX FUNCTIONS
    Bilal, Muhammad
    Dragomir, Silvestru sever
    Khan, Asif raza
    RAD HRVATSKE AKADEMIJE ZNANOSTI I UMJETNOSTI-MATEMATICKE ZNANOSTI, 2025, 29 (564): : 145 - 186
  • [25] Hermite-Hadamard type inequalities for harmonically convex functions
    Iscan, Iindat
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2014, 43 (06): : 935 - 942
  • [26] A Note on Hermite-Hadamard Inequalities for Products of Convex Functions
    Chen, Feixiang
    JOURNAL OF APPLIED MATHEMATICS, 2013,
  • [27] ON THE HERMITE-HADAMARD INEQUALITIES FOR CONVEX FUNCTIONS VIA HADAMARD FRACTIONAL INTEGRALS
    Peng, Shan
    Wei, Wei
    Wang, JinRong
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2014, 29 (01): : 55 - 75
  • [28] Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means
    Xi, Bo-Yan
    Qi, Feng
    JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2012,
  • [29] Some inequalities of Hermite-Hadamard type for a new kind of convex functions on coordinates
    Xi, Bo-Yan
    Song, Chu-Yi
    Bai, Shu-Ping
    Guo, Bai-Ni
    IAENG International Journal of Applied Mathematics, 2020, 50 (01): : 52 - 57
  • [30] Some Hermite-Hadamard Type Inequalities for Harmonically s-Convex Functions
    Chen, Feixiang
    Wu, Shanhe
    SCIENTIFIC WORLD JOURNAL, 2014,
12345