discrete, differential and integral quasi-interpolants can be derived involving a term measuring how well the non …, for quasi-interpolants defined from a piecewise polynomial function, φ, we propose a simpler minimization problem, based … on the Bernstein–Bézier representation of some related piecewise polynomial functions, leading to a new class of quasi-interpolants. …

-standard differential quasi-interpolants QD,rf of f satisfying the reproduction propertyQD,rp=p,for allp∈Pm+r.We fully analyze the quasi …

Spline quasi-interpolants on the real line are approximating splines to given functions with optimal approximation … orders. They are called integral quasi-interpolants if the coefficients in the spline series are linear combinations of … weighted mean values of the function to be approximated. This paper is devoted to the construction of new integral quasi-interpolants …

In this paper new discrete quasi-interpolants on the real line are defined with good error constants for enough regular …

spline quasi-interpolants (abbr. QIs). We show that for every iteration step we obtain superconvergence rates. A …

The paper is concerned with the construction and the study on R of discrete and integral refinable quasi-interpolants …

-spline. We show that these operators, called near-best quasi-interpolants, have the best approximation order and small infinity … quasi-interpolants and we illustrate our results by a numerical example. …