2 citations · 2 across the 1 of their papers we have counts for
9 papers
Approximation by Baskakov quasi-interpolants
Paul Sablonnière
Baskakov operators and their inverses can be expressed as linear differential operators on polynomials. Recurrence relations are given for the computation of these coefficients. Th…
Error analysis for quadratic spline quasi-interpolants on non-uniform criss-cross triangulations of bounded rectangular domains
Catterina Dagnino, Paul Sablonnière
Given a non-uniform criss-cross partition of a rectangular domain , we analyse the error between a function defined on and two types of -quadratic spline quasi-inte…
On two families of near-best spline quasi-interpolants on non-uniform partitions of the real line
Domingo Barrera, Maria José Ibañez Pérez, Paul Sablonnière +1
The univariate spline quasi-interpolants (abbr. QIs) studied in this paper are approximation operators using B-spline expansions with coefficients which are linear combinations of…
A quadrature formula associated with a univariate quadratic spline quasi-interpolant
Paul Sablonniere
We study a new simple quadrature rule based on integrating a quadratic spline quasi-interpolant on a bounded interval. We give nodes and weights for uniform and non-uniform p…
Univariate spline quasi-interpolants and applications to numerical analysis
Paul Sablonnière
We describe some new univariate spline quasi-interpolants on uniform partitions of bounded intervals. Then we give some applications to numerical analysis: integration, differentia…
Recent Results on Near-Best Spline Quasi-Interpolants
Paul Sablonniere
Roughly speaking, a near-best (abbr. NB) quasi-interpolant (abbr. QI) is an approximation operator of the form where the 's are B-splines and t…