Some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals

被引：5

作者：

Kalsoom, Humaira ^{[2
]}

Budak, Huseyin ^{[1
]}

Kara, Hasan ^{[1
]}

Ali, Muhammad Aamir ^{[3
]}

机构：

[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

[3] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Peoples R China

来源：

OPEN MATHEMATICS | 2021年 / 19卷 / 01期

关键词：

Simpson's 1; 3; formula; integral inequalities; fractional calculus; co-ordinated convex functions; HADAMARD-TYPE INEQUALITIES; SIMPSONS TYPE INEQUALITIES; HERMITE-HADAMARD; DIFFERENTIABLE MAPPINGS; REAL NUMBERS;

D O I：

10.1515/math-2021-0072

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we first obtain a new identity for generalized fractional integrals which contains some parameters. Then by this equality, we establish some new parameterized inequalities for co-ordinated convex functions involving generalized fractional integrals. Moreover, we show that the results proved in the main section reduce to several Simpson-, trapezoid-and midpoint-type inequalities for various values of parameters.

引用

页码：1153 / 1186

页数：34

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