- Konuralp Journal of Mathematics
- Volume:8 Issue:1
- Fractional Quantum Hermite-Hadamard Type Inequalities
Fractional Quantum Hermite-Hadamard Type Inequalities
Authors : Mehmet KUNT, Mazen ALJASEM
Pages : 122-136
View : 33 | Download : 11
Publication Date : 2020-04-15
Article Type : Research Paper
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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