A sharp mid-point type inequality. (English) Zbl 07878708
In this paper, the authors obtained a sharp mid-point type inequality in connection with Riemann-Liouville fractional integrals on real line using a class of absolutely continuous functions. Some sharp and non-shap mid-point types inequalities are also derived, proved and discussed. Examples were given to demonstrate the results obtained, and also applications of the results to obtain some special means were presented.
Reviewer: James Adedayo Oguntuase (Abeokuta)
MSC:
| 26D15 | Inequalities for sums, series and integrals |
| 26A33 | Fractional derivatives and integrals |
| 26A51 | Convexity of real functions in one variable, generalizations |
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