Certain parameterized inequalities arising from fractional integral operators with exponential kernels

Zhengrong Yuan, Taichun Zhou, Qiang Zhang, Tingsong Du
2021 Filomat  
We utilize the definition of a fractional integral operators, which was presented by Ahmad et al., to investigate a general fractional-type identity with a parameter. We establish certain parameterized fractional integral inequalities based on this identity, and provide two examples to illustrate the obtained results. Also, these results derived in this paper are applied to the estimations of q-digamma function, divergence measures and cumulative distribution function, respectively.
doi:10.2298/fil2105707y fatcat:3jdukhxoardphkuyer3datcunu