On generalized fractional inequalities for functions of bounded variation with two variables

被引：0

作者：

Budak, Huseyin ^{[1
]}

Ozcelik, Kubilay ^{[1
]}

Kashuri, Artion ^{[2
]}

Ali, Muhammad Aamir ^{[3
]}

Zhang, Zhiyue ^{[3
]}

机构：

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

[2] Univ Ismail Qemali, Fac Tech Sci, Dept Math, Vlora, Albania

[3] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2022年 / 13卷 / 02期

关键词：

Function of bounded variation; Ostrowski inequalities; generalized fractional integral; OSTROWSKI TYPE INEQUALITIES; HADAMARD-TYPE INEQUALITIES; MAPPINGS; HERMITE; COMPANION; INTEGRALS;

D O I：

10.22075/ijnaa.2022.25891.3152

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we firstly obtain some identities via generalized fractional integrals which generalize some important fractional integrals such as the Riemann-Liouville fractional integrals, the Hadamard fractional integrals, etc. Then by utilizing these equalities we establish some Ostrowski and Trapezoid type inequalities for functions of bounded variation with two variables. Moreover, we give some inequalities involving Hadamard fractional integrals as special cases of our main results.

引用

页码：1165 / 1182

页数：18

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