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About this product
Product Identifiers
PublisherSpringer Berlin / Heidelberg
ISBN-103540569316
ISBN-139783540569312
eBay Product ID (ePID)112016120
Product Key Features
Number of Pages222 Pages
Publication NameMethods of Approximation Theory in Complex Analysis and Mathematical Physics : Leningrad, May 13-24 1991
LanguageEnglish
SubjectFunctional Analysis, Physics / Mathematical & Computational, Applied, Complex Analysis
Publication Year1993
TypeTextbook
Subject AreaMathematics, Science
AuthorEdward B. Saff
SeriesLecture Notes in Mathematics Ser.
FormatTrade Paperback
Dimensions
Item Weight16 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Intended AudienceScholarly & Professional
Series Volume Number1550
Number of Volumes1 vol.
IllustratedYes
Table Of ContentBernstein theorems for harmonic functions.- Spectral theory of nonlinear equations and n-widths of Sobolev spaces.- On wavelet analysis.- Polynomials orthogonal on the unit circle with random recurrence coefficients.- Using the refinement equation for the construction of pre-wavelets IV: Cube splines and elliptic splines united.- Strong asymptotics for orthogonal polynomials.- Exact convergence rates for best L P rational approximation to the signum function and for optimal quadrature in H P .- Uniform rational approximation of X .- Classical biorthogonal rational functions.- A direct proof for Trefethen's conjecture.- Approximation properties of harmonic vector fields and differential forms.- A problem of Axler and Shields on nontangential limits and maximal ideal space of some pseudonanalytic algebras.- Degree of approximation of analytic functions by "near the best" polynomial approximants.- Extremal problems for Blaschke products and widths.- On the convergence of Bieberbach polynomials in domains with interior zero angles.- Duality principle in linearized rational approximation.- Universality of the fibonacci cubature formulas.- Parameters of orthogonal polynomials.- Some numerical results on best uniform polynomial approximation of X ? on [0, 1].
SynopsisThe 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., 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 formulas,theory 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.
LC Classification NumberQA331.7
