Methods of Approximation Theory in Complex Analysis and Mathematical Physics : Euler Institute, 1991

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....

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Weitere Verfasser: Saff, Edward Barry, 1944-...., mathématicien (Verlagsleitung), Gonchar, Andrei Aleksandrovich, 1931-2012 (Verlagsleitung)
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Schriftenreihe:Lecture notes in mathematics 1550
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Edition sous un autre format:• Methods of approximation theory in complex analysis and mathematical physics, Leningrad, May 13-24, 1991, editors, A.A. Gonchar, E.B. Saff, Berlin [etc.], Springer-Verlag, 1993, 1 volume (222 pages), Lecture notes in mathematics, 0-387-56931-6
• Methods of Approximation Theory in Complex Analysis and Mathematical Physics, Texte imprimé, 9783662188989
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245 0 0 |a Methods of Approximation Theory in Complex Analysis and Mathematical Physics :  |b Euler Institute, 1991   |c [edited by] Andrei A. Gonchar, Edward B. Saff. 
260 |a Berlin [etc.] :  |b Springer. 
260 |a Cham :  |b Springer Nature,  |c [20..]. 
490 0 |a Lecture notes in mathematics  |v 1550  |x 1617-9692 
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500 |a Archives Springer e-books (Licence nationale) 
505 0 |a Bernstein 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]. 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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. 
650 |a Approximation, Théorie de l' 
650 |a Analyse mathématique 
650 |a Fonctions de plusieurs variables complexes 
650 |a Actes de congrès 
700 1 |a Saff, Edward Barry,  |d 1944-....,  |c mathématicien.  |4 pbd 
700 1 |a Gonchar, Andrei Aleksandrovich,  |d 1931-2012.  |4 pbd 
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