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The Resource Methods of approximation theory in complex analysis and mathematical physics : Leningrad, May 13-24, 1991, editors, A.A. Gonchar, E.B. Saff

Methods of approximation theory in complex analysis and mathematical physics : Leningrad, May 13-24, 1991, editors, A.A. Gonchar, E.B. Saff

Contributor
Summary
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
Language
eng
Work
Publication
Extent
1 online resource (222 pages).
Note
  • "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
Contents
  • 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
Isbn
9783540477921
Instance
Label
Methods of approximation theory in complex analysis and mathematical physics : Leningrad, May 13-24, 1991
Title
Methods of approximation theory in complex analysis and mathematical physics
Title remainder
Leningrad, May 13-24, 1991
Statement of responsibility
editors, A.A. Gonchar, E.B. Saff
Contributor
Subject
Genre
Language
eng
Summary
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
Member of
Action
digitized
Cataloging source
YNG
Dewey number
512.924
Index
no index present
LC call number
QA3
LC item number
.L28 no. 1550eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1944-
http://library.link/vocab/relatedWorkOrContributorName
  • Gonchar, A. A.
  • Saff, E. B.
  • Euler International Mathematical Institute
  • University of South Florida
Series statement
Lecture notes in mathematics,
Series volume
1550
http://library.link/vocab/subjectName
  • Approximation theory
  • Functions of complex variables
  • Mathematical analysis
  • Mathematical physics
  • Approximation, Théorie de l'
  • Physique mathématique
  • Approximation theory
  • Functions of complex variables
  • Mathematical analysis
  • Mathematical physics
  • Mathematische fysica
  • Approximation
  • Benaderingen (wiskunde)
Target audience
adult
Label
Methods of approximation theory in complex analysis and mathematical physics : Leningrad, May 13-24, 1991, editors, A.A. Gonchar, E.B. Saff
Instantiates
Publication
Note
  • "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
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
black and white
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
234238550
Dimensions
unknown
Extent
1 online resource (222 pages).
File format
multiple file formats
Form of item
online
Isbn
9783540477921
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
unknown
Reformatting quality
access
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
(OCoLC)234238550
System details
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.
Label
Methods of approximation theory in complex analysis and mathematical physics : Leningrad, May 13-24, 1991, editors, A.A. Gonchar, E.B. Saff
Publication
Note
  • "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
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
black and white
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
234238550
Dimensions
unknown
Extent
1 online resource (222 pages).
File format
multiple file formats
Form of item
online
Isbn
9783540477921
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
unknown
Reformatting quality
access
Reproduction note
Electronic reproduction.
Specific material designation
remote
System control number
(OCoLC)234238550
System details
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.

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