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1. Rational algorithm for quadratic Christoffel modification and applications to the constrained L -approximation.

Author

Cvetković, A.S., Milovanović, G.V., and Matejić, M.M.

Subjects
*ALGORITHMS, *QUADRATIC equations, *CHEBYSHEV polynomials, *ORTHOGONAL polynomials, *CHRISTOFFEL-Darboux formula, *APPROXIMATION theory, *NUMERICAL analysis
Abstract

In this paper, we consider a rational algorithm for modification of a positive measure by quadratic factor, , where it is allowed z to be in supp(d σ). Also, we present an application of modified algorithm to the measures and , where T 2(t)=t 2−½ is the second degree monic Chebyshev polynomial of the first kind and , , is the Chebyshev measure of the second kind. Also, we present an application to the constrained L 2-polynomial approximation. [ABSTRACT FROM AUTHOR]

Published
2011
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