Der Artikel ist weiterhin als ^^OTHERCONDITION^^ verfügbar.
Autor: Herbert Stahl
ISBN-13: 9781139242981
Einband: PDF
Seiten: 0
Sprache: Englisch
eBook Typ: PDF
eBook Format: PDF
Kopierschutz: Adobe DRM [Hard-DRM]
Systemvoraussetzungen
Der Artikel wird am Ende des Bestellprozesses zum Download zur Verfügung gestellt.

General Orthogonal Polynomials

Encyclopedia of Mathematics and its Applications
Geben Sie Ihre Bewertung ab!  
Wir verlosen jeden Monat unter allen freigegebenen Rezensionen
3 Gutscheine im Wert von 20 Euro. Teilnahmebedingungen
2
In this treatise, the authors present the general theory of orthogonal polynomials on the complex plane and several of its applications. The assumptions on the measure of orthogonality are general, the only restriction is that it has compact support on the complex plane. In the development of the theory the main emphasis is on asymptotic behaviour and the distribution of zeros. In the following chapters, the author explores the exact upper and lower bounds are given for the orthonormal polynomials and for the location of their zeros; regular n-th root asymptotic behaviour; and applications of the theory, including exact rates for convergence of rational interpolants, best rational approximants and non-diagonal Pade approximants to Markov functions (Cauchy transforms of measures). The results are based on potential theoretic methods, so both the methods and the results can be extended to extremal polynomials in norms other than L2 norms. A sketch of the theory of logarithmic potentials is given in an appendix.
1
In this treatise, the authors present the general theory of orthogonal polynomials on the complex plane and several of its applications. The assumptions on the measure of orthogonality are general, the only restriction is that it has compact support on the complex plane. In the development of the theory the main emphasis is on asymptotic behaviour and the distribution of zeros. In the following chapters, the author explores the exact upper and lower bounds are given for the orthonormal polynomials and for the location of their zeros; regular n-th root asymptotic behaviour; and applications of the theory, including exact rates for convergence of rational interpolants, best rational approximants and non-diagonal Pade approximants to Markov functions (Cauchy transforms of measures). The results are based on potential theoretic methods, so both the methods and the results can be extended to extremal polynomials in norms other than L2 norms. A sketch of the theory of logarithmic potentials is given in an appendix.

Zu diesem Artikel ist noch keine Rezension vorhanden.
Helfen sie anderen Besuchern und verfassen Sie selbst eine Rezension.

 

Rezensionen

Autor: Herbert Stahl
ISBN-13 :: 9781139242981
ISBN: 1139242989
Verlag: Cambridge University Press
Sprache: Englisch
Sonstiges: Ebook, Maximale Downloadanzahl: 6