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Methods of Approximation Theory in Complex Analysis and Mathematical Physics - Leningrad, May 13-24, 1991 (Paperback, 1993 ed.)
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Methods of Approximation Theory in Complex Analysis and Mathematical Physics - Leningrad, May 13-24, 1991 (Paperback, 1993 ed.)
Series: Lecture Notes in Mathematics, 1550
Expected to ship within 18 - 22 working days
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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.
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