Weighted Ostrowski, trapezoid and midpoint type inequalities for Riemann-Liouville fractional integrals

被引：10
|
作者：
Budak, Huseyin [1 ]
Pehlivan, Ebru [1 ]
机构：
[1] Duzce Univ, Fac Sci & Arts, Dept Math, Duzce, Turkey
来源：
AIMS MATHEMATICS | 2020年 / 5卷 / 03期
关键词：
trapezoid inequality; Ostrowski inequality; fractional integral operators; convex function; concave function; HERMITE-HADAMARD-TYPE; FEJER TYPE INEQUALITIES; CONVEX-FUNCTIONS; DIFFERENTIABLE MAPPINGS; REAL NUMBERS; S-CONVEX;
D O I：
10.3934/math.2020131
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our first aim is to establish two new identities for differentiable function involving Riemann-Liouville fractional integrals. Then, we obtain some new weighted versions of fractional trapezoid and Ostrowski type inequalities. Moreover, we give some weighted fractional midpoint type inequalities as special cases.
引用
收藏
页码：1960 / 1984
页数：25
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