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Concerning asymptotic behavior for extremal polynomials associated to nondiagonal sobolev norms

Journal of Function Spaces and Applications, ISSN: 0972-6802, Vol: 2013, Page: 1-11
2013
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  • Citations
    7
    • Citation Indexes
      7

Article Description

Let ℙ be the space of polynomials with complex coefficients endowed with a nondiagonal Sobolev norm || · ||, where the matrix V and the measure constitute a p -admissible pair for 1 ≤ p ≤ ∞. In this paper we establish the zero location and asymptotic behavior of extremal polynomials associated to || · ||, stating hypothesis on the matrix V rather than on the diagonal matrix appearing in its unitary factorization. © 2013 Ana Portilla et al.

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