CERTAIN SIMPSON-TYPE INEQUALITIES FOR TWICE-DIFFERENTIABLE FUNCTIONS BY CONFORMABLE FRACTIONAL INTEGRALS

被引：1
|
作者：
Hezenci, Fatih [1 ]
Budak, Huseyin [1 ]
机构：
[1] Duzee Univ, Fac Sci & Arts, Dept Math, TR-81620 Duzce, Turkiye
来源：
KOREAN JOURNAL OF MATHEMATICS | 2023年 / 31卷 / 02期
关键词：
Simpson-type inequality; fractional conformable integrals; fractional cal-culus; convex function;
D O I：
10.11568/kjm.2023.31.2.217
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, an equality is established by twice-differentiable convex functions with respect to the conformable fractional integrals. Moreover, several Simpson-type inequalities are presented for the case of twice-differentiable convex functions via conformable fractional integrals by using the established equality. Fur-thermore, our results are provided by using special cases of obtained theorems.
引用
收藏
页码：217 / 228
页数：12
相关论文
共 50 条
  • [31] Generalized Fractional Integral Inequalities Derived from Convexity Properties of Twice-Differentiable Functions
    Almoneef, Areej A.
    Hyder, Abd-Allah
    Hezenci, Fatih
    Budak, Huseyin
    FRACTAL AND FRACTIONAL, 2025, 9 (02)
  • [32] Simpson Type Conformable Fractional Inequalities
    Sanli, Zeynep
    JOURNAL OF FUNCTION SPACES, 2022, 2022
  • [33] New Results on Simpson-Type Inequalities for Co-ordinated Convex Function by Generalized Conformable Integrals
    Hezenci, Fatih
    Budak, Huseyin
    EXPERIMENTAL MATHEMATICS, 2024,
  • [34] Post-Quantum Midpoint-Type Inequalities Associated with Twice-Differentiable Functions
    Sitthiwirattham, Thanin
    Murtaza, Ghulam
    Ali, Muhammad Aamir
    Promsakon, Chanon
    Sial, Ifra Bashir
    Agarwal, Praveen
    AXIOMS, 2022, 11 (02)
  • [35] Fractional Milne-type inequalities for twice differentiable functions
    Almoneef, Areej A.
    Hyder, Abd-Allah
    Budak, Huseyin
    Barakat, Mohamed A.
    AIMS MATHEMATICS, 2024, 9 (07): : 19771 - 19785
  • [36] Some parameterized Simpson's type inequalities for differentiable convex functions involving generalized fractional integrals
    You, Xuexiao
    Ali, Muhammad Aamir
    Budak, Huseyin
    Kara, Hasan
    Zhao, Dafang
    ADVANCES IN CONTINUOUS AND DISCRETE MODELS, 2022, 2022 (01):
  • [37] Some parameterized Simpson’s type inequalities for differentiable convex functions involving generalized fractional integrals
    Xuexiao You
    Muhammad Aamir Ali
    Hüseyin Budak
    Hasan Kara
    Dafang Zhao
    Advances in Continuous and Discrete Models, 2022
  • [38] Simpson's Second Type Integral Inequalities for Twice Differentiable Convex Functions
    Iftikhar, Sabah
    Uche, Ugochukwu David
    THAI JOURNAL OF MATHEMATICS, 2021, 19 (03): : 766 - 783
  • [39] Some Hermite-Hadamard-Type Fractional Integral Inequalities Involving Twice-Differentiable Mappings
    Sahoo, Soubhagya Kumar
    Tariq, Muhammad
    Ahmad, Hijaz
    Aly, Ayman A.
    Felemban, Bassem F.
    Thounthong, Phatiphat
    SYMMETRY-BASEL, 2021, 13 (11):
  • [40] Simpson-Type Inequalities for Geometrically Relative Convex Functions
    Noor, M. A.
    Noor, K. I.
    Awan, M. U.
    UKRAINIAN MATHEMATICAL JOURNAL, 2018, 70 (07) : 1145 - 1154
12345