Geodesic
On Constrained L 2-Approximation of Complex Functions
Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 149-155

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DOI

A function f analytic in any disc of radius greater than 1 is approximated in the L 2-sense over a class of polynomials which also interpolate f on a subset of the roots of unity. The resulting solution is used to discuss Walsh-type equiconvergence. The main theorem of the paper generalizes certain results of Walsh, Rivlin and Cavaretta et al.
DOI : 10.4153/CMB-1995-021-8
Mots-clés : 30E10, 41A20, Taylor's polynomial, Lagrange interpolant, l 2 and L 2 minimization, inner product space, equiconvergence 
Bokhari, M. A. On Constrained L 2-Approximation of Complex Functions. Canadian mathematical bulletin, Tome 38 (1995) no. 2, pp. 149-155. doi: 10.4153/CMB-1995-021-8
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1995-021-8/}
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