Weighted Inequalities Involving Conformable Integrals and Its Applications for Random Variable and Numerical Integration

被引：1
|
作者：
Erden, Samet [1 ]
机构：
[1] Bartin Univ, Fac Sci, Dept Math, Bartin, Turkey
来源：
FILOMAT | 2020年 / 34卷 / 08期
关键词：
Conformable calculus; Ostrowski inequality; Midpoint inequality; Convex function; Random variables; MAPPINGS;
D O I：
10.2298/FIL2008785E
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish new weighted inequalities for conformable integrals and derivatives. Then, some results involving alpha-fractional moments are presented. Next, alpha-fractional Uniform, Gamma and Weibull distribution are defined and exclusive results by using these inequalities developed are obtained. Also, some applications of obtained inequalities in numerical integration are given.
引用
收藏
页码：2785 / 2796
页数：12
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