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catalog abstract "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.".
catalog contributor b4962568.
catalog contributor b4962569.
catalog created "1993.".
catalog date "1993".
catalog date "1993.".
catalog dateCopyrighted "1993.".
catalog description "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 öxö -- M. Rahman, S.K. Suslov: Classical Biorthogonal Rational Functions -- V.P. Havin, A. Presa Sagué: 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 Ä0,1Ü -- 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.".
catalog description "Includes bibliographical references.".
catalog description "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.".
catalog extent "222 p. ;".
catalog identifier "0387569316 (New York : acid-free paper)".
catalog identifier "3540569316 (Berlin : acid-free paper)".
catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1550.".
catalog isPartOf "Lecture notes in mathematics ; 1550".
catalog issued "1993".
catalog issued "1993.".
catalog language "eng".
catalog publisher "Berlin ; New York : Springer-Verlag,".
catalog subject "Approximation theory Congresses.".
catalog subject "Functions of complex variables Congresses.".
catalog subject "Global analysis (Mathematics).".
catalog subject "Mathematical analysis Congresses.".
catalog subject "Mathematics.".
catalog tableOfContents "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 öxö -- M. Rahman, S.K. Suslov: Classical Biorthogonal Rational Functions -- V.P. Havin, A. Presa Sagué: 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 Ä0,1Ü -- 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.".
catalog title "Methods of approximation theory in complex analysis and mathematical physics : Leningrad, May 13-24, 1991 / editors, A.A. Gonchar, E.B. Saff".
catalog type "text".