Generalized Pompeiu type inequalities for local fractional integrals and its applications

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摘要

First of all, the generalized Pompeiu’s mean value theorem is established. Then, some generalized Pompeiu type inequalities are obtained. Finally, some applications of these inequalities in numerical integration and for special means are given.

论文关键词：Pompeiu’s mean value theorem,Local fractional integral,Fractal space,Numerical integration,Special means

论文评审过程：Received 15 July 2015, Revised 30 September 2015, Accepted 1 November 2015, Available online 5 December 2015, Version of Record 5 December 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.11.012