Certain parameterized inequalities arising from fractional integral operators with exponential kernels

Abstract

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.