Univariate spline quasi-interpolants and applications to numerical analysis

2005/04/01 by Sablonnière, Paul
#41A15 #65D07 #65D25 #65D32 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.math/0504022

Abstract

We describe some new univariate spline quasi-interpolants on uniform partitions of bounded intervals. Then we give some applications to numerical analysis: integration, differentiation and approximation of zeros.

Related

• A quadrature formula associated with a univariate quadratic spline quasi-interpolant
• On two families of near-best spline quasi-interpolants on non-uniform partitions of the real line
• Recent progress on univariate and multivariate polynomial and spline quasi-interpolants
• Near-best univariate spline discrete quasi-interpolants on non-uniform partitions
• Recent Results on Near-Best Spline Quasi-Interpolants