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. 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. Editors, A.a. Gonchar, E.b. Saff A Collection Of Selected Papers Written By Participants Of International Seminars On Methods Of Approximation Theory In Complex Analysis And Mathematical Physics--t.p. Verso. At Head Of Title: Russian Academy Of Sciences, The Euler International Mathematical Institute. Reprint. Originally Published: Moscow : Nauka, 1992. Includes Bibliographical References.

Gonchar, A. A. (Andrei A.); Saff, E. B., 1944-; Euler International Mathematical Institute; University of South Florida. Institute for Constructive Mathematics

A. A Gonchar; E. B Saff; Euler International Mathematical Institute; University of South Florida Institute for Constructive Mathematics

International seminars on "Methods of approximation theory in complex analysis and mathematical physics"

Conchar, A. A., Saff, Edward B., Gonchar, Andrei A.

editors, A.A. Gonchar, E.B. Saff

editors A. A. Gonchar, E. B.Saff

Springer Spektrum. in Springer-Verlag GmbH

[Berlin] ; [New York]: [Springer-Verlag]

Steinkopff. in Springer-Verlag GmbH

Springer London, Limited

Springer-Verlag ; Nauka

Lecture notes in mathematics -- 1550, Lecture notes in mathematics (Springer-Verlag) -- 1550, Berlin, New York, Germany, 1993

Lecture notes in mathematics (Springer-Verlag), 1550, Berlin, Heidelberg, 1993

Lecture notes in mathematics -- 1550, Moscow, Russia, 1992

Berlin [etc], Moscow, 1993

Germany, Germany

May 1994

Lecture Notes in Mathematics

"A collection of selected papers written by participants of international seminars on "Methods of Approximation Theory in Complex Analysis and Mathematical Physics"--T.p. verso
At head of title: Russian Academy of Sciences, The Euler International Mathematical Institute
Reprint. Originally published: Moscow : Nauka, 1992
Includes bibliographical references

At head of title: Russian Academy of Sciences, Euler International Mathematical Institute.

1 online resource (222 pages)
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
"A collection of selected papers written by participants of international seminars ... organized in Leningrad May 13-26, 1991 by the Euler International Mathematical Institute of Russian Academy of Sciences (St. Petersburg, Russia) and Institute for Constructive Mathematics of University of South Florida (Tampa, Florida)"--Title page verso
At head of title: Russian Academy of Sciences, The Euler International Mathematical Institute
Russian ed. reissued by Springer-Verlag with paper cover added
Originally published: Moscow : Nauka, 1992
Includes bibliographical references
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 Sagu: 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
Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002
digitized 2010

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.
Erscheinungsdatum: 30.07.1993

2023-06-28