Applied Mathematics & Information Sciences

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Hermite Hadamard inequality is of immense importance due to its applications in numerical integration and in providing lower and upper limits of the functions mean value. Hardy type inequalities are useful in technical sciences. Various authors have worked for the improvement and generalizations of these inequalities. In this paper, we obtain certain new Hermite-Hadamard, Hermite- Hadamard Fejer and weighted Hardy type inequalities involving (k − p) Riemann-Liouville fractional integral operator using convex and increasing functions. Some inequalities obtained here would provide the extensions of some already known results.

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