Quote
Lenze, Burkhard 1990. On constructive one-sided approximation of multivariate functions of bounded variation. Numerical Functional Analysis and Optimization 11, 1-2, 55-83.
Content
In this paper we present a constructive strategy for one-sided approximation of multivariate functions of bounded variation. The approach is based on a special kind of Lebesgue-Stieltjes convolution operator depending on a hyperbolic argument. We prove local, global, and saturation-type results and, finally, take a look at the applicability of the new operators.