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The multiplication operator, zero location and asymptotic for non-diagonal Sobolev norms

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2010

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Springer

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To cite this item, use the following identifier: https://hdl.handle.net/10016/6448

Abstract

In this paper we are going to study the zero location and asymptotic behavior of extremal polynomials with respect to a generalized non-diagonal Sobolev norm in which the product of the function and its derivative appears. The orthogonal polynomials with respect to this Sobolev norm are a particular case of those extremal polynomials. The multiplication operator by the independent variable is the main tool in order to obtain our results.

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14 pages, no figures.-- Online version published Jul 9, 2009.
Article in press.

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Multiplication operator, Zero location, Asymptotic, Weight, Sobolev orthogonal polynomials, Extremal polynomials, Weighted Sobolev spaces

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Acta Applicandae Mathematicae, 2010, doi: 10.1007/s10440-009-9541-2 (In press)
DOI: 10.1007/s10440-009-9541-2

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