Hermite-Hadamard type inequalities for multiplicative Riemann-Liouville fractional integrals. (English) Zbl 1541.26040
Summary: In this paper, we present a multiplicative fractional integral identity. Based upon it, we establish the Hermite-Hadamard type inequalities for multiplicatively convex functions via multiplicative Riemann-Liouville fractional integrals. We also give some applications to special means of real numbers in the framework of multiplicative calculus. To make the results obtained here more intuitive for the readers, we provide some examples for suitable choices of multiplicative convex functions and their graphical descriptions.
MSC:
| 26D15 | Inequalities for sums, series and integrals |
| 26A33 | Fractional derivatives and integrals |
| 26A51 | Convexity of real functions in one variable, generalizations |
Keywords:
Hermite-Hadamard inequality; multiplicative Riemann-Liouville fractional integrals; multiplicative differentiable functionsReferences:
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