engleski

On an inequality for convex functions with some applications on fractional derivatives and fractional integrals

The main goal of the paper is to state and prove the new general inequality for convex and increasing functions. We introduce some new inequalities by involving some fractional integrals and fractional derivatives of Riemman-Liouville, Canavati, Hadamard and Erdelyi-Kober type and apply our result to multidimensional setting to obtain new results involving mixed Riemman-Liouville fractional integrals. 1.

Convex function; kernel; fractional derivative; fractional integrals

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