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

[摘要] 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 for the quadrature formula in numerical analysis.

[学科分类] 电力

[关键词] Hermite–Hadamard type inequalities;Simpson’s inequality;Fractional integrals