Hermite-Hadamard-Fejer type inequalities

被引:1
|
作者
Yaldiz, Hatice [1 ]
Sarikaya, Mehmet Zeki [2 ]
机构
[1] Karamanoglu Mehmetbey Univ, Kamil Ozdag Sci Fac, Dept Math, Yunus Emre Campus, TR-70100 Karaman, Turkey
[2] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey
关键词
Convex function; Hermite-Hadamard inequality; Hermite-Hadamard-Fejer inequality; Riemann-Liouville fractional integral;
D O I
10.1080/09720502.2018.1471806
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we have established the left hand side of the Hermite-Hadamard-Fejer type inequalities for the class of functions whose derivatives in absolute value at certain powers are convex functions by using fractional integrals.
引用
收藏
页码:1547 / 1561
页数:15
相关论文
共 50 条
  • [41] EXTENSIONS AND REFINEMENTS OF FEJER AND HERMITE-HADAMARD TYPE INEQUALITIES
    Abramovich, Shoshana
    Persson, Lars-Erik
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2018, 21 (03): : 759 - 772
  • [42] Generalized Inequalities of the type of Hermite-Hadamard-Fejer with Quasi-Convex Functions by way of k-Fractional Derivatives
    Ali, A.
    Gulshan, G.
    Hussain, R.
    Latif, A.
    Muddassar, M.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 22 (07) : 1208 - 1219
  • [44] Some generalized Hermite-Hadamard-Fejer inequality for convex functions
    Vivas-Cortez, Miguel
    Korus, Peter
    Napoles Valdes, Juan E.
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [45] Inequalities of Hermite-Hadamard-Fejer type for convex functions and convex functions on the co-ordinates in a rectangle from the plane
    Tseng, Kuei-Lin
    Pecaric, J.
    Hwang, Shiow-Ru
    Chen, Yi-Liang
    TAIWANESE JOURNAL OF MATHEMATICS, 2008, 12 (03): : 703 - 717
  • [46] *-HERMITE-HADAMARD-FEJER INEQUALITY AND SOME NEW INEQUALITY VIA *-CALCULUS
    Unluyol, Erdal
    Erdas, Yeter
    Salas, Seren
    SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2019, 10 (03): : 287 - 299
  • [47] Fejer and Hermite-Hadamard Type Inequalities for Harmonically Convex Functions
    Chen, Feixiang
    Wu, Shanhe
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [48] Hermite-Hadamard-Fejer Type Inequalities for (k, h)-Convex Function via Riemann-Liouville and Conformable Fractional Integrals
    Set, Erhan
    Karaoglan, Ali
    INTERNATIONAL CONFERENCE ON ADVANCES IN NATURAL AND APPLIED SCIENCES (ICANAS 2017), 2017, 1833
  • [49] Hermite-Hadamard type and Fejer type inequalities for general weights (I)
    Hwang, Shiow-Ru
    Tseng, Kuei-Lin
    Hsu, Kai-Chen
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [50] New Hermite-Hadamard-Fejer Inequalities via k-Fractional Integrals for Differentiable Generalized Nonconvex Functions
    Kashuri, Artion
    Rassias, Themistocles M.
    FILOMAT, 2020, 34 (08) : 2549 - 2558