Approximation by Shift Invariant Univariate Sublinear-Shilkret Operators
Author
Anastassiou, George A.
Full text
http://revistas.ufro.cl/ojs/index.php/cubo/article/view/189510.4067/S0719-06462018000100001
Abstract
A very general positive sublinear Shilkret integral type operator is given through a convolution-like iteration of another general positive sublinear operator with a scaling type function.For it sufficient conditions are given for shift invariance, preservation of global smoothness, convergence to the unit with rates. Additionally, two examples of very general specialized operators are presented fulfilling all the above properties, the higher order of approximation of these operators is also considered.