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[null,"1.","Record Nr.",null,"UNISA996466539203316"]
[null,null,"Titolo",null,"Strong asymptotics for extremal polynomials associated with weights on R / / edited by Doron S. Lubinsky, Edward B. Saff"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Germany : , : Springer, , [1988]"]
[{"$nulls":4},"©1988"]
[null,null,"ISBN",null,"3-540-38857-5"]
[null,null,"Edizione",null,"[1st ed. 1988.]"]
[null,null,"Descrizione fisica",null,"1 online resource (VIII, 156 p.)"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434 ; ; 1305"]
[null,null,"Disciplina",null,"511.66"]
[null,null,"Soggetti",null,"Orthogonal polynomials"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,"Nota di contenuto",null,"Notation and index of notation -- Statement of main results -- Weighted polynomials and zeros of extremal polynomials -- Integral equations -- Polynomial approximation of potentials -- Infinite-finite range inequalities and their sharpness -- The largest zeros of extremal polynomials -- Further properties of Un, R(x) -- Nth root asymptotics for extremal polynomials -- Approximation by certain weighted polynomials, I -- Approximation by certain weighted polynomials, II -- Bernstein's formula and bernstein extremal polynomials -- Proof of the asymptotics for Enp(W) -- Proof of the asymptotics for the Lp extremal polynomials -- The case p=2 : Orthonormal polynomials."]
[null,null,null,"Sommario/riassunto","0. The results are consequences of a strengthened form of the following assertion: Given 0 <p<, f Lp ( ) and a certain sequence of positive numbers associated with Q(x), there exist polynomials Pn of degree at most n, n = 1,2,3..., such that if and only if f(x) = 0 for a.e. 1. Auxiliary results include inequalities for weighted polynomials, and zeros of extremal polynomials. The monograph is fairly self-contained, with proofs involving elementary complex analysis, and the theory of orthogonal and extremal polynomials. It should be of interest to research workers in approximation theory and orthogonal polynomials."]