Separating rational L p inequalities for integral operators


Here we present L p, p > 1, integral inequalities for convex and increasing functions applied to products of ratios of functions and other important mixtures. As applications we derive a wide range of fractional inequalities of Hardy type. They involve the left and right Erdélyi-Kober fractional integrals and left and right mixed Riemann-Liouville fractional multiple integrals. Also we give inequalities for Riemann-Liouville, Caputo, Canavati radial fractional derivatives. Some inequalities are of exponential type.

Publication Title

Panamerican Mathematical Journal

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