4.3 Article

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

Journal

JOURNAL OF INEQUALITIES AND APPLICATIONS
Volume 2020, Issue 1, Pages -

Publisher

SPRINGER
DOI: 10.1186/s13660-020-02538-y

Keywords

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

Funding

  1. Prince Sultan University [RG-DES-2017-01-17]

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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.

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