Neuware -The book incorporates research papers and surveys written byparticipants ofan International Scientific Programme onApproximation Theory jointly supervised by Institute forConstructive Mathematics of University of South Florida atTampa, USA and the Euler International MathematicalInstituteat St. Petersburg, Russia. The aim of theProgramme was to present new developments in ConstructiveApproximation Theory. The topics of the papers are:asymptotic behaviour of orthogonal polynomials, rationalapproximation of classical functions, quadrature formulastheory of n-widths, nonlinear approximation in Hardyalgebras,numerical results on best polynomialapproximations, wavelet analysis.FROM THE CONTENTS: E.A. Rakhmanov: Strong asymptotics fororthogonal polynomials associated with exponential weightson R.- A.L. Levin, E.B. Saff: Exact Convergence Rates forBest Lp Rational Approximation to the Signum Function andfor Optimal Quadrature in Hp.- H. Stahl: Uniform RationalApproximation of x .- M. Rahman, S.K. Suslov: ClassicalBiorthogonal Rational Functions.- V.P. Havin, A. PresaSague: Approximation properties of harmonic vector fieldsand differential forms.- O.G. Parfenov: Extremal problemsfor Blaschke products and N-widths.- A.J. Carpenter, R.S.Varga: Some Numerical Results on Best Uniform PolynomialApproximation of x on 0,1 .- J.S. Geronimo: PolynomialsOrthogonal on the Unit Circle with Random RecurrenceCoefficients.- S. Khrushchev: Parameters of orthogonalpolynomials.- V.N. Temlyakov: The universality of theFibonacci cubature formulas.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 228 pp. Englisch.

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Detalles bibliogr�ficos

T�tulo: Methods of Approximation Theory in Complex Analysis and Mathematical Physics
Editor: Springer Berlin Heidelberg, Springer Berlin Heidelberg Jul 1993
Fecha de publicaci�n: 1993
Idioma: Ingl�s
ISBN 10: 3540569316
ISBN 13: 9783540569312
Encuadernaci�n: Taschenbuch
Estado: Neu

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Sinopsis

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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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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