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

Name: The multiplication operator, zero location and asymptotic for non-diagonal Sobolev norms
Keywords: Sobolev orthogonal polynomials, Matemáticas, Zero location, Multiplication operator, Asymptotic, Weighted Sobolev spaces, Weight, Extremal polynomials

Portilla, Ana; Rodríguez, José M.; Tourís, Eva

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Repositorio Institucional de la Universidad Carlos III de Madrid

Other ORP type . 2010

Data sources: Repositorio Institucional de la Universidad Carlos III de Madrid

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

appsOther research productkeyboard_double_arrow_right Other ORP type 01 Jan 2010 Spain English Publisher:Springer

Authors: Portilla, Ana; Rodríguez, José M.; Tourís, Eva;

handle: https://hdl.handle.net/10016/6448 , 10016/6448

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

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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.

Country

Spain

Related Organizations

Carlos III University of Madrid
Spain

Keywords

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

16 Research products, page 1 of 2

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