- Konuralp Journal of Mathematics
- Vol: 8 Issue: 1
- Fractional Quantum Hermite-Hadamard Type Inequalities
Fractional Quantum Hermite-Hadamard Type Inequalities
Authors : Mehmet Kunt, Mazen Aljasem
Pages : 122-136
View : 9 | Download : 5
Publication Date : 2020-04-15
Article Type : Research
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