Quasi-interpolant operators in Bernstein basis

S. Bouhiri, A. Lamnii, M. Lamnii and A. Zidna

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 186, issue C, 80-90

Abstract: The aim of this paper is to present a family of polynomial quasi-interpolants in Bernstein basis. More precisely, we will combine the strong features of the polar forms and the symmetric polynomials to derive the coefficients of the quasi-interpolant in the Bernstein basis representation. We also derive a collection of spline quasi-interpolants that reproduce polynomial functions up to degree 2. Numerical examples support the theoretical results and show that the proposed scheme is simple and effective.

Keywords: Quasi-interpolant; Bernstein basis; Symmetric polynomials; Polar forms (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:186:y:2021:i:c:p:80-90

DOI: 10.1016/j.matcom.2020.07.001

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