SOME INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR DIFFERENTIABLE (s, m)-CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS

被引:0
|
作者
Bayraktar, B. [1 ]
机构
[1] Uludag Univ, Fac Educ, Gorukle Campus, TR-16059 Bursa, Turkey
关键词
convex function; (s; m); convex; Hermite-Hadamard inequalitiy; Riemann-Liouville fractional integral; power mean inequalitiy; Holder inequality; FEJER TYPE;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we present new inequalities connected with fractional integrals for twice differentiable functions derivatives which are (s, m) convex functions. To obtain this, integral inequalities were used classical inequalities as Holder inequalitiy and power mean inequality.This results are related to the well-known integral inequality of the Hermite-Hadamard type. Also some applications to special means are provided.
引用
收藏
页码:625 / 637
页数:13
相关论文
共 50 条
  • [1] SOME HERMITE-HADAMARD TYPE INTEGRAL INEQUALITIES FOR TWICE DIFFERENTIABLE MAPPINGS VIA FRACTIONAL INTEGRALS
    Sarikaya, Mehmet Zeki
    Budak, Huseyin
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2014, 29 (04): : 371 - 384
  • [2] HERMITE-HADAMARD TYPE INEQUALITIES FOR SOME CONVEX DOMINATED FUNCTIONS VIA FRACTIONAL INTEGRALS
    Kavurmaci-Onalan, Havva
    MISKOLC MATHEMATICAL NOTES, 2021, 22 (01) : 287 - 297
  • [3] Hermite-Hadamard Type Inequalities Obtained via Fractional Integral for Differentiable m-Convex and (alpha,m)-Convex Functions
    Set, Erhan
    Karatas, Suleyman Sami
    Khan, Muhammad Adil
    INTERNATIONAL JOURNAL OF ANALYSIS, 2016,
  • [4] Generalized Hermite-Hadamard type integral inequalities for s-convex functions via fractional integrals
    Sarikaya, Mehmet Zeki
    Ertugral, Fatma
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2014, 41 (02): : 226 - 233
  • [5] 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
  • [6] On some inequalities related to fractional Hermite-Hadamard type for differentiable convex functions
    Budak, Huseyin
    Kara, Hasan
    Ali, Muhammad Aamir
    Kiris, Mehmet Eyup
    ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2021, 48 (02): : 222 - 233
  • [7] New Hermite-Hadamard Type Inequalities Obtained via Fractional Integral for Differentiable s-Convex Functions
    Set, Erhan
    Karatas, Suleyman Sami
    INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES: ICANAS 2016, 2016, 1726
  • [8] Fractional Integral Inequalities of Hermite-Hadamard Type for Differentiable Generalizedh-Convex Functions
    Yang, Yingxia
    Saleem, Muhammad Shoaib
    Ghafoor, Mamoona
    Qureshi, Muhammad Imran
    JOURNAL OF MATHEMATICS, 2020, 2020
  • [9] Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals
    Iscan, Imdat
    Wu, Shanhe
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 238 : 237 - 244
  • [10] Generalized fractional integral inequalities of Hermite-Hadamard type for (,m)-convex functions
    Qi, Feng
    Mohammed, Pshtiwan Othman
    Yao, Jen-Chih
    Yao, Yong-Hong
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019,