Quasi-interpolation in Spline Spaces: Local Stability and Approximation Properties

Authors

  • M. E. Castillo
  • E. M. Garau Consejo Nacional de Investigaciones Científicas y Técnicas and Universidad Nacional del Litoral

DOI:

https://doi.org/10.5540/tcam.2022.024.01.00009

Keywords:

spline approximation, quasi-interpolation, stability, B-splines

Abstract

In this work we analyze the approximation error in Sobolev norms for quasi-interpolation operators in spline spaces. We establish in a general way the hypotheses on a quasi-interpolant to achieve the optimal order of approximation. Finally, we propose simple but general constructions of such operators that satisfy the established hypotheses and illustrate their performance through some numerical tests.

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Published

2023-03-14

How to Cite

Castillo, M. E., & Garau, E. M. (2023). Quasi-interpolation in Spline Spaces: Local Stability and Approximation Properties. Trends in Computational and Applied Mathematics, 24(1), 9–18. https://doi.org/10.5540/tcam.2022.024.01.00009

Issue

Vol. 24 No. 1 (2023)

Section

Original Article

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