Gruss-type inequality by mean of a fractional integral

2017/04/28 by Sousa, J. Vanterler da C., Oliveira, D. S., de Oliveira, E. Capelas
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1705.00965

Abstract

In this paper, using a fractional integral as proposed by Katugampola we establish a generalization of integral inequalities of Gruss-type. We prove two theorems associated with these inequalities and then immediately we enunciate and prove others inequalities associated with these fractional operator.

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