Fractional Quantum Hermite-Hadamard Type Inequalities

Year 2020, Volume: 8 Issue: 1, 122 - 136, 15.04.2020

Mehmet Kunt , Mazen Aljasem

Abstract

In this paper, Riemann-Liouville fractional quantum Hermite-Hadamard type inequalities are proved. Also, two identities for continuous functions in the form of Riemann-Liouville fractional quantum integral type are obtained. By using these identities, some Riemann-Liouville fractional quantum trapezoid and midpoint type inequalities for convex functions are given. The results of this paper generalize the results given in earlier works.

Keywords

Quantum derivative, Quantum integral, Riemann-Liouville fractional integrals, Fractional quantum integral, Hermite-Hadamard type inequalities, Convex functions

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