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On Christoffel Type Functions for Lm Extremal Polynomials, I

✍ Scribed by Ying Guang Shi

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
129 KB
Volume
103
Category
Article
ISSN
0021-9045

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✦ Synopsis

The Christoffel functions for orthogonal polynomials are extended to the case of L m extremal polynomials with an even integer m and their properties are given.

πŸ“œ SIMILAR VOLUMES

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For the special type of weight functions on circular arc we study the asymptotic behavior of the Christoffel kernel off the arc and of the Christoffel function inside the arc. We prove Totik's conjecture for the Christoffel function corresponding to such weight functions.

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On a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case I
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## Abstract The main theme of this paper is the discussion of a parametrized family of solutions of a finite moment problem for rational matrix‐valued functions in the nondegenerate case. We will show that each member of this family is extremal in several directions concerning some point of the ope