LEADER 04907nam 2200661 450 001 996466665003316 005 20220820095424.0 010 $a3-540-47792-6 024 7 $a10.1007/BFb0117469 035 $a(CKB)1000000000437150 035 $a(SSID)ssj0000392633 035 $a(PQKBManifestationID)12111385 035 $a(PQKBTitleCode)TC0000392633 035 $a(PQKBWorkID)10361187 035 $a(PQKB)11574964 035 $a(DE-He213)978-3-540-47792-1 035 $a(MiAaPQ)EBC5610830 035 $a(Au-PeEL)EBL5610830 035 $a(OCoLC)1078997070 035 $a(MiAaPQ)EBC6819220 035 $a(Au-PeEL)EBL6819220 035 $a(OCoLC)912383627 035 $a(PPN)155182870 035 $a(EXLCZ)991000000000437150 100 $a20220820d1993 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aMethods of approximation theory in complex analysis and mathematical physics $eLeningrad, May 13-24 1991 /$fA. A. Gonchar, E. B. Saff, editors 205 $a1st ed. 1993. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d[1993] 210 4$dİ1993 215 $a1 online resource (222 p.) 225 1 $aLecture Notes in Mathematics ;$vVolume 1550 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a0-387-56931-6 311 $a3-540-56931-6 327 $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]. 330 $aThe book incorporates research papers and surveys written by participants ofan International Scientific Programme on Approximation Theory jointly supervised by Institute for Constructive Mathematics of University of South Florida at Tampa, USA and the Euler International Mathematical Instituteat St. Petersburg, Russia. The aim of the Programme was to present new developments in Constructive Approximation Theory. The topics of the papers are: asymptotic behaviour of orthogonal polynomials, rational approximation of classical functions, quadrature formulas, theory of n-widths, nonlinear approximation in Hardy algebras,numerical results on best polynomial approximations, wavelet analysis. FROM THE CONTENTS: E.A. Rakhmanov: Strong asymptotics for orthogonal polynomials associated with exponential weights on R.- A.L. Levin, E.B. Saff: Exact Convergence Rates for Best Lp Rational Approximation to the Signum Function and for Optimal Quadrature in Hp.- H. Stahl: Uniform Rational Approximation of x .- M. Rahman, S.K. Suslov: Classical Biorthogonal Rational Functions.- V.P. Havin, A. Presa Sague: Approximation properties of harmonic vector fields and differential forms.- O.G. Parfenov: Extremal problems for Blaschke products and N-widths.- A.J. Carpenter, R.S. Varga: Some Numerical Results on Best Uniform Polynomial Approximation of x on 0,1 .- J.S. Geronimo: Polynomials Orthogonal on the Unit Circle with Random Recurrence Coefficients.- S. Khrushchev: Parameters of orthogonal polynomials.- V.N. Temlyakov: The universality of the Fibonacci cubature formulas. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$vVolume 1550. 606 $aApproximation theory 606 $aMathematical physics 615 0$aApproximation theory. 615 0$aMathematical physics. 676 $a511.4 686 $a30-06$2msc 686 $a41-06$2msc 702 $aGonchar$b A. A$g(Andrei A.), 702 $aSaff$b E. B.$f1944- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466665003316 996 $aMethods of approximation theory in complex analysis and mathematical physics$9262362 997 $aUNISA