Some inequalities of the Grüss type for conformable \(k\)-fractional integral operators. (English) Zbl 1434.26065
Summary: In the paper, the authors establish several new inequalities of the Grüss type for conformable \(k\)-fractional integral operators. These inequalities generalize some known results.
MSC:
| 26D15 | Inequalities for sums, series and integrals |
| 26A33 | Fractional derivatives and integrals |
| 26D10 | Inequalities involving derivatives and differential and integral operators |
| 33B20 | Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) |
Keywords:
Grüss inequality; gamma function; \(k\)-gamma function; convex function; Hermite-Hadamard-type inequality; Riemann-Liouville fractional integral; fractional conformable integral; \(k\)-fractional conformable integralReferences:
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