Vectorial splitting rational Lp inequalities for integral operators
Here we present Lp, p > 1, vectorial integral inequalitites for products of multivariate convex and increasing functions applied to vectors of ratios of functions. As applications we derive a wide range of vectorial fractional inequalities of Hardy type. They involve the left and right Erdelyi-Kober fractional integrals and left and right mixed Riemann-Liouville fractional multiple integrals. Also we give vectorial inequalities for Riemann-Liouville, Caputo, Canavati radial fractional derivatives. Some inequalities are of exponential type.
Journal of Applied Nonlinear Dynamics
Anastassiou, G. (2013). Vectorial splitting rational Lp inequalities for integral operators. Journal of Applied Nonlinear Dynamics, 2 (1), 59-81. https://doi.org/10.5890/JAND.2012.09.005