Methods of Approximation Theory in Complex Analysis and Mathematical Physics: Euler Institute, Leningrad, May 13-24, 1991 (Lecture Notes in Mathematics): 1550 - Softcover

 
9783540569312: Methods of Approximation Theory in Complex Analysis and Mathematical Physics: Euler Institute, Leningrad, May 13-24, 1991 (Lecture Notes in Mathematics): 1550
Softcover
ISBN 10: 3540569316 ISBN 13: 9783540569312
Verlag: Springer, 1993

Inhaltsangabe

The book incorporates research papers and surveys written by participants ofan International Scientific Programme on Approximation Theory jointly supervised by Institute for Constructive Mathematics of University of South Florida at Tampa, USA and the Euler International Mathematical Instituteat St. Petersburg, Russia. The aim of the Programme was to present new developments in Constructive Approximation Theory. The topics of the papers are: asymptotic behaviour of orthogonal polynomials, rational approximation of classical functions, quadrature formulas, theory of n-widths, nonlinear approximation in Hardy algebras, numerical results on best polynomial approximations, wavelet analysis. FROM THE CONTENTS: E.A. Rakhmanov: Strong asymptotics for orthogonal polynomials associated with exponential weights on R- A.L. Levin, E.B. Saff: Exact Convergence Rates for Best Lp Rational Approximation to the Signum Function and for Optimal Quadrature in Hp- H. Stahl: Uniform Rational Approximation of x - M. Rahman, S.K. Suslov: Classical Biorthogonal Rational Functions- V.P. Havin, A. Presa Sague: Approximation properties of harmonic vector fields and differential forms- O.G. Parfenov: Extremal problems for Blaschke products and N-widths- A.J. Carpenter, R.S. Varga: Some Numerical Results on Best Uniform Polynomial Approximation of x on 0,1 - J.S. Geronimo: Polynomials Orthogonal on the Unit Circle with Random Recurrence Coefficients- S. Khrushchev: Parameters of orthogonal polynomials- V.N. Temlyakov: The universality of the Fibonacci cubature formulas.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Reseña del editor

The book incorporates research papers and surveys written by participants ofan International Scientific Programme on Approximation Theory jointly supervised by Institute for Constructive Mathematics of University of South Florida at Tampa, USA and the Euler International Mathematical Instituteat St. Petersburg, Russia. The aim of the Programme was to present new developments in Constructive Approximation Theory. The topics of the papers are: asymptotic behaviour of orthogonal polynomials, rational approximation of classical functions, quadrature formulas, theory of n-widths, nonlinear approximation in Hardy algebras,numerical results on best polynomial approximations, wavelet analysis. FROM THE CONTENTS: E.A. Rakhmanov: Strong asymptotics for orthogonal polynomials associated with exponential weights on R.- A.L. Levin, E.B. Saff: Exact Convergence Rates for Best Lp Rational Approximation to the Signum Function and for Optimal Quadrature in Hp.- H. Stahl: Uniform Rational Approximation of x .- M. Rahman, S.K. Suslov: Classical Biorthogonal Rational Functions.- V.P. Havin, A. Presa Sague: Approximation properties of harmonic vector fields and differential forms.- O.G. Parfenov: Extremal problems for Blaschke products and N-widths.- A.J. Carpenter, R.S. Varga: Some Numerical Results on Best Uniform Polynomial Approximation of x on 0,1 .- J.S. Geronimo: Polynomials Orthogonal on the Unit Circle with Random Recurrence Coefficients.- S. Khrushchev: Parameters of orthogonal polynomials.- V.N. Temlyakov: The universality of the Fibonacci cubature formulas.

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Verlag
Springer
Erscheinungsdatum
1993
Sprache
Englisch
ISBN 10 
3540569316
ISBN 13 
9783540569312
Einband
Tapa blanda
Anzahl der Seiten
228
Herausgeber
Gonchar A. A.
Kontakt zum Hersteller
Nicht verfügbar
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9783662188989: Methods of Approximation Theory in Complex Analysis and Mathematical Physics: Leningrad, May 13-24, 1991

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