000 04569nam a22004815i 4500
001 978-3-540-47792-1
003 DE-He213
005 20160624101828.0
007 cr nn 008mamaa
008 121227s1993 gw | s |||| 0|eng d
020 _a9783540477921
_9978-3-540-47792-1
024 7 _a10.1007/BFb0117469
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515
_223
245 1 0 _aMethods of Approximation Theory in Complex Analysis and Mathematical Physics
_h[electronic resource] :
_bLeningrad, May 13–24, 1991 /
_cedited by Andrei A. Gonchar, Edward B. Saff.
246 3 _aThe Euler International Mathematical Institute
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1993.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1993.
300 _a222 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1550
505 0 _aBernstein 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].
520 _aThe 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 0 _aMathematics.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aMathematics.
650 2 4 _aAnalysis.
700 1 _aGonchar, Andrei A.
_eeditor.
700 1 _aSaff, Edward B.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540569312
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1550
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0117469
942 _2EBK1614
_cEBK
999 _c30908
_d30908