Some parameterized Simpson-, midpoint-and trapezoid-type inequalities for generalized fractional integrals

被引：11

作者：

Budak, Huseyin ^{[1
]}

Yildirim, Seda Kilinc ^{[2
]}

Sarikaya, Mehmet Zeki ^{[1
]}

Yildirim, Huseyin ^{[2
]}

机构：

[1] Duzce Univ, Dept Math, Duzce, Turkey

[2] Univ Kahramanmaras, Fac Sci & Arts, Dept Math, TR-46000 Kahramanmaras, Turkey

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2022年 / 2022卷 / 01期

关键词：

Simpson's 1/3 formula; Integral inequalities; Fractional calculus; Convex functions; HERMITE-HADAMARD-TYPE; DIFFERENTIABLE MAPPINGS; CONVEX FUNCTIONS; REAL NUMBERS;

D O I：

10.1186/s13660-022-02773-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first obtain an identity for differentiable mappings. Then, we establish some new generalized inequalities for differentiable convex functions involving some parameters and generalized fractional integrals. We show that these results reduce to several new Simpson-, midpoint- and trapezoid-type inequalities. The results given in this study are the generalizations of results proved in several earlier papers.

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页数：23

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