Generalized iterated fractional representation formulae and inequalities

Abstract

Here we derive very general iterated fractional representation formulae. Based on these we obtain a fractional Ostrowski type inequality, fractional Poincaré type inequalities, fractional Opial type inequalities, and fractional Hilbert–Pachpatte inequalities. All these inequalities are very general.

Publication Title

Springer Proceedings in Mathematics and Statistics

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