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.
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页码:217 / 228
页数:12
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