SOME GENERALIZED INTEGRAL INEQUALITIES VIA FRACTIONAL INTEGRALS

被引:0
|
作者
Sarikaya, M. Z. [1 ]
Budak, H. [1 ]
Usta, F. [1 ]
机构
[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey
来源
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE | 2020年 / 89卷 / 01期
关键词
Hermite-Hadamard's inequalities; Riemann-Liouville fractional integral; integral inequalities; HERMITE-HADAMARD TYPE;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The main goal of this paper is to introduce a new integral definition concerned with fractional calculus. Then we establish generalized Hermite-Hadamard type integral inequalities for convex function using proposed fractional integrals. The results presented in this paper provide extensions of those given in earlier works.
引用
收藏
页码:27 / 38
页数:12
相关论文
共 50 条
  • [1] Integral inequalities for some convex functions via generalized fractional integrals
    Naila Mehreen
    Matloob Anwar
    Journal of Inequalities and Applications, 2018
  • [2] Integral inequalities for some convex functions via generalized fractional integrals
    Mehreen, Naila
    Anwar, Matloob
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [3] On generalized some integral inequalities for local fractional integrals
    Sarikaya, Mehmet Zeki
    Tunc, Tuba
    Budak, Huseyin
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 276 : 316 - 323
  • [4] On Some Integral Inequalities via Conformable Fractional Integrals
    Akdemir, Ahmet Ocak
    Deniz, Erhan
    Yuksel, Ebru
    APPLIED MATHEMATICS AND NONLINEAR SCIENCES, 2021, 6 (01) : 489 - 498
  • [5] On Some Generalized Integral Inequalities for Riemann-Liouville Fractional Integrals
    Sarikaya, Mehmet Zeki
    Filiz, Hatice
    Kiris, Mehmet Eyup
    FILOMAT, 2015, 29 (06) : 1307 - 1314
  • [6] Some Generalized Hadamard–Type Inequalities via Fractional Integrals
    B. Bayraktar
    A. Kh. Attaev
    V. Ch. Kudaev
    Russian Mathematics, 2021, 65 : 1 - 14
  • [7] Some results on integral inequalities via Riemann–Liouville fractional integrals
    Xiaoling Li
    Shahid Qaisar
    Jamshed Nasir
    Saad Ihsan Butt
    Farooq Ahmad
    Mehwish Bari
    Shan E Farooq
    Journal of Inequalities and Applications, 2019
  • [8] Some Generalized Hadamard-Type Inequalities via Fractional Integrals
    Bayraktar, B.
    Attaev, A. Kh
    Kudaev, V. Ch
    RUSSIAN MATHEMATICS, 2021, 65 (02) : 1 - 14
  • [9] Generalized Ostrowski type integral inequalities involving generalized moments via local fractional integrals
    Abdullah Akkurt
    Mehmet Zeki Sarikaya
    Hüseyin Budak
    Hüseyin Yildirim
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017, 111 : 797 - 807
  • [10] Generalized Ostrowski type integral inequalities involving generalized moments via local fractional integrals
    Akkurt, Abdullah
    Sarikaya, Mehmet Zeki
    Budak, Huseyin
    Yildirim, Huseyin
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2017, 111 (03) : 797 - 807