Weighted Hermite-Hadamard type inequalities for differentiable GA-convex and geometrically quasiconvex mappings. (English) Zbl 1498.26055
Summary: We prove new weighted Hermite-Hadamard type inequalities for differentiable GA-convex and geometrically quasiconvex functions. These results generalize many results proved in earlier works for these classes of functions.
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; GA-convex function; geometrically quasiconvex function; Hölder’s integral inequalityReferences:
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