Simpson-Type Inequalities for Conformable Fractional Operators Concerning Twice-Differentiable Functions

被引:5
作者
Hezenci, F. [1 ,2 ]
Budak, H. [1 ,2 ]
机构
[1] Duzce Univ, Dept Math, Duzce, Turkiye
[2] Duzce Univ, Fac Sci & Arts, Math, Duzce, Turkiye
关键词
Simpson-type inequality; fractional conformable integrals; fractional conformable derivatives; fractional calculus; convex function;
D O I
10.30495/JME.2023.2589
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The authors of the paper propose a new method of investigation of an an equality for the case of twice-differentiable convex functions with respect to the conformable fractional integrals. With the help of this equality, we establish several Simpson-type inequalities for twice-differentiable convex functions by using conformable fractional integrals. Sundry significant inequalities are obtained by taking advantage of the convexity, the Holder inequality, and the power mean inequality. By using the specific selection of our results, we give several new and well-known results in the literature.
引用
收藏
页数:22
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