On shape-preserving probabilistic wavelet approximators
Lubomir T. Dechevsky, Spiridon I. Penev · Stochastic Analysis and Applications · 1997
We introduce a general class of shape-preserving wavelet approximating operators (approximators) which transform cumulative distribution functions and densities into functions of the same type. Our operators can be considered as a generalization of the operators introduced by Anastassiou and Yu [1]. Further, we extend the consideration by studying the approximation properties for the whole variety of Lp: -norms, 0