HERMITE-HADAMARD TYPE INEQUALITIES FOR SOME CONVEX DOMINATED FUNCTIONS VIA FRACTIONAL INTEGRALS

被引：1
|
作者：
Kavurmaci-Onalan, Havva [1 ]
机构：
[1] Van Yuzuncu Yil Univ, Fac Educ, Dept Math Educ, Van, Turkey
来源：
MISKOLC MATHEMATICAL NOTES | 2021年 / 22卷 / 01期
关键词：
Convex Dominated Functions; H-H Inequality; Fractional Calculus;
D O I：
10.18514/MMN.2021.3431
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, we derive some new inequalities of H-H type for (g, m) - and (g, h) - convex dominated functions related fractional integral. Our obtained results are extensions of earlier works.
引用
收藏
页码：287 / 297
页数：11
相关论文
共 50 条
  • [1] 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
  • [2] Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals
    Iscan, Imdat
    Wu, Shanhe
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 238 : 237 - 244
  • [3] Some Hermite-Hadamard Type Inequalities For Convex Functions Via New Fractional Conformable Integrals And Related Inequalities
    Gozpinar, Abdurrahman
    1ST INTERNATIONAL CONFERENCE ON MATHEMATICAL AND RELATED SCIENCES (ICMRS 2018), 2018, 1991
  • [4] CERTAIN NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS
    Set, Erhan
    Ozdemir, M. Emin
    Korkut, Necla
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (01): : 61 - 69
  • [5] IMPROVED HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS
    Sanli, Zeynep
    Kunt, Mehmet
    Koroglu, Tuncay
    SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2019, 37 (02): : 461 - 474
  • [6] On Hermite-Hadamard Type Inequalities for phi-convex Functions via Fractional Integrals
    Sarikaya, Mehmet Zeki
    Yaldiz, Hatice
    MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2015, 9 (02): : 243 - 258
  • [7] HERMITE-HADAMARD TYPE INEQUALITIES FOR HARMONICALLY CONVEX FUNCTIONS VIA KATUGAMPOLA FRACTIONAL INTEGRALS
    Mumcu, Ilker
    Set, Erhan
    Akdemir, Ahmet Ocak
    MISKOLC MATHEMATICAL NOTES, 2019, 20 (01) : 409 - 424
  • [8] On some Hermite-Hadamard type inequalities for tgs-convex functions via generalized fractional integrals
    Mehreen, Naila
    Anwar, Matloob
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01):
  • [9] HERMITE-HADAMARD TYPE INEQUALITIES FOR CONFORMABLE INTEGRALS VIA η-CONVEX FUNCTIONS
    Khurshid, Yousaf
    Khan, Muhammad Adil
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2023, 38 (01): : 77 - 90
  • [10] Hermite-Hadamard type inequalities for MT-convex functions via classical integrals and fractional integrals
    Liu, Wenjun
    Wen, Wangshu
    Park, Jaekeun
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03): : 766 - 777
12345