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Mathematical Communications, Vol. 20 No. 2, 2015.

Original scientific paper

Bridging Bernstein and Lagrange polynomials

Umberto Amato orcid id orcid.org/0000-0002-8990-2320 ; Istituto per le Applicazioni del Calcolo 'M. Picone', National Research Council of Italy, Napoli, Italy
Della Vecchia Biancamaria orcid id orcid.org/0000-0003-1482-4898 ; Dipartimento di Matematica, Universita di Roma 'La Sapienza'

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Abstract

Linear combinations of iterates of Bernstein polynomials exponentially converging to Lagrange interpolating polynomial are given. The results are applied in CAGD to get a faster weighted progressive iterative approximation technique to fit data with finer and finer precision.

Keywords

Bernstein polynomials; Lagrange interpolation; Hotelling's method; B\'ezier curves; weighted progressive iterative approximation

Hrčak ID:

149778

URI

https://hrcak.srce.hr/149778

Publication date:

18.12.2015.

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