Near-Best Univariate Spline Discrete Quasi-Interpolants on Nonuniform Partitions

On near-best discrete quasi-interpolatio

On near-best discrete quasi-interpolation on a four-directional mesh

✍ D. Barrera; M.J. Ibáñez; P. Sablonnière; D. Sbibih 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 538 KB

Spline quasi-interpolants are practical and effective approximation operators. In this paper, we construct QIs with optimal approximation orders and small infinity norms called nearbest discrete quasi-interpolants which are based on Ω-splines, i.e. B-splines with octagonal supports on the uniform fo