FRACTIONAL REPRESENTATION FORMULAE UNDER INITIAL CONDITIONS AND FRACTIONAL OSTROWSKI TYPE INEQUALITIES

被引：4

作者：

Anastassiou, George ^{[1
]}

机构：

[1] Univ Memphis, Dept Math Sci, Memphis, TN 38152 USA

来源：

DEMONSTRATIO MATHEMATICA | 2015年 / 48卷 / 03期

关键词：

fractional integral; representation formulae; Ostrowski inequality;

D O I：

10.1515/dema-2015-0025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Here we present very general fractional representation formulae for a function in terms of the fractional Riemann-Liouville integrals of different orders of the function and its ordinary derivatives under initial conditions. Based on these, we derive general fractional Ostrowski type inequalities with respect to all basic norms.

引用

页码：357 / 378

页数：22