Buch, Englisch, Band 1305, 156 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 265 g
Reihe: Lecture Notes in Mathematics
Buch, Englisch, Band 1305, 156 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 265 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-18958-9
Verlag: Springer Berlin Heidelberg
0. The results are consequences of a strengthened form of the following assertion: Given 0 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.
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Research
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Weitere Infos & Material
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.