A note on fractional Simpson-like type inequalities for functions whose third derivatives are convex

被引：3
|
作者：
Hezenci, Fatih [1 ]
Budak, Huseyin [1 ]
机构：
[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkiye
来源：
FILOMAT | 2023年 / 37卷 / 12期
关键词：
Simpson type inequalities; Convex function; Fractional integrals; Third derivative; INTEGRAL-INEQUALITIES;
D O I：
10.2298/FIL2312715H
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, equality is established for Riemann-Liouville fractional integral. With the aid of this equality, it is proved some fractional Simpson-like type inequalities for functions whose third derivatives in absolute value are convex. By using special cases of the main results, previously obtained Simpson type inequalities are found for the Riemann-Liouville fractional integral. Furthermore, the mathematical example is presented to verify the newly established inequality.
引用
收藏
页码：3715 / 3724
页数：10
相关论文
共 50 条
  • [31] On fractional Simpson type integral inequalities for co-ordinated convex functions
    Sundas Khan
    Hüseyin Budak
    Journal of Inequalities and Applications, 2022
  • [32] On fractional Simpson type integral inequalities for co-ordinated convex functions
    Khan, Sundas
    Budak, Huseyin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2022, 2022 (01)
  • [33] Fractional 3/8-Simpson type inequalities for differentiable convex functions
    Nasri, Nassima
    Meftah, Badreddine
    Moumen, Abdelkader
    Saber, Hicham
    AIMS MATHEMATICS, 2024, 9 (03): : 5349 - 5375
  • [34] SIMPSON-LIKE INEQUALITIES FOR TWICE DIFFERENTIABLE (s,P)-CONVEX MAPPINGS INVOLVING WITH AB-FRACTIONAL INTEGRALS AND THEIR APPLICATIONS
    Yuan, Xiaoman
    Xu, Lei
    Du, Tingsong
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023, 31 (03)
  • [35] Ostrowski type inequalities for functions whose modulus of the derivatives are convex and applications
    Barnett, NS
    Cerone, P
    Dragomir, SS
    Pinheiro, MR
    Sofo, A
    INEQUALITY THEORY AND APPLICATIONS, VOL 2, 2003, : 19 - 32
  • [36] Hermite–Hadamard Type Inequalities for Functions Whose Derivatives are Operator Convex
    A. G. Ghazanfari
    Complex Analysis and Operator Theory, 2016, 10 : 1695 - 1703
  • [37] OSTROWSKI TYPE INEQUALITIES FOR FUNCTIONS WHOSE DERIVATIVES ARE MT-CONVEX
    Tunc, Mevlut
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 17 (04) : 691 - 696
  • [38] SOME ESTIMATES ON THE WEIGHTED SIMPSON-LIKE TYPE INTEGRAL INEQUALITIES AND THEIR APPLICATIONS
    Zhu, Ting
    Wang, Peipei
    Du, Tingsong
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2020, 2020
  • [39] Fractional Ostrowski type inequalities for functions whose mixed derivatives are prequasiinvex functions
    Meftah, B.
    Merad, M.
    Souahi, A.
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2019, 22 (06) : 951 - 967
  • [40] Quantum simpson like type inequalities for q-differentiable convex functions
    Meftah, Badreddine
    Souahi, Abdourazek
    Merad, Meriem
    JOURNAL OF ANALYSIS, 2024, 32 (03): : 1331 - 1365
12345