New fractional inequalities of Hermite–Hadamard type involving the incomplete gamma functions

[摘要] A specific type of convex functions is discussed. By examining this, we investigate new Hermite–Hadamard type integral inequalities for the Riemann–Liouville fractional operators involving the generalized incomplete gamma functions. Finally, we expose some examples of special functions to support the usefulness and effectiveness of our results.

[学科分类] 电力

[关键词] Riemann–Liouville fractional integral;Hermite–Hadamard inequality;Incomplete gamma function;Bessel function;q -digamma function