Here we study the approximation properties of non linear discrete operators, generated by a non linear kernel satisfying new and more general singularity assumptions. In particular we obtain convergence theorems in the space of all uniformly continuous functions in R and some results concerning functions with bounded variation.
On reconstruction of functions by means of nonlinear discrete operators
BARDARO, Carlo;MANTELLINI, Ilaria
2003
Abstract
Here we study the approximation properties of non linear discrete operators, generated by a non linear kernel satisfying new and more general singularity assumptions. In particular we obtain convergence theorems in the space of all uniformly continuous functions in R and some results concerning functions with bounded variation.File in questo prodotto:
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