English

Gruss-type inequality by mean of a fractional integral

Classical Analysis and ODEs 2017-06-21 v3

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.

Keywords

Cite

@article{arxiv.1705.00965,
  title  = {Gruss-type inequality by mean of a fractional integral},
  author = {J. Vanterler da C. Sousa and D. S. Oliveira and E. Capelas de Oliveira},
  journal= {arXiv preprint arXiv:1705.00965},
  year   = {2017}
}

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16 pages