Some parameterized inequalities by means of fractional integrals with exponential kernels and their applications

Tai-Chun Zhou, Zheng-Rong Yuan, Hong-Ying Yang, Ting-Song Du
2020 Journal of Inequalities and Applications  
We use the definition of a new class of fractional integral operators, recently introduced by Ahmad et al. in [J. Comput. Appl. Math. 353:120-129, 2019], to establish a fractional-type integral identity with one parameter. We derive some parameterized integral inequalities for convex mappings based on this identity, and provide two examples to illustrate the investigated results as well. Moreover, we present applications of our findings to special means of real numbers, and error estimations
more » ... the quadrature formula in numerical analysis. MSC: 26A33; 41A55; 26D15; 26E60
doi:10.1186/s13660-020-02430-9 fatcat:ime6ktfj5vcfjhlir2r7xoczdy