Abstract
We find an explicit formula for the weighted dual functions of the Bernstein polynomials with respect to the Jacobi weight function using the usual inner product in the Hilbert space L2[0, 1]. We define the weighted dual functionals of the Bernstein polynomials, which are used to find the coefficients in the least squares approximation.
Original language | English |
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Pages (from-to) | 1581-1590 |
Number of pages | 10 |
Journal | Applied Mathematics and Computation |
Volume | 186 |
Issue number | 2 |
DOIs | |
Publication status | Published - Mar 15 2007 |
Externally published | Yes |
Keywords
- Bernstein polynomials
- Dual basis and functionals
- Jacobi weight
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics