Rational Approximation and its Applications in Mathematics and Physics [electronic resource] : Proceedings, Łańcut 1985 / edited by Jacek Gilewicz, Maciej Pindor, Wojciech Siemaszko.
Material type: TextSeries: Lecture Notes in Mathematics ; 1237Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1987Description: XIV, 354 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540474128Subject(s): Mathematics | Numerical analysis | Mathematics | Numerical AnalysisAdditional physical formats: Printed edition:: No titleDDC classification: 518 LOC classification: QA297-299.4Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK1573 |
A survey of bounds for the zeros of analytic functions obtained by continued fraction methods -- Rational approximation and interpolation of functions by branched continued fractions -- Polynomial condition of Leja -- Branched continued fractions and convergence acceleration problems -- Two-point Padé-type and Padé Approximants -- Existence of Chebyshev approximations by transformations of powered rationals -- Best Chebyshev rational approximants and poles of functions -- Hyperbolic approximation of meromorphic functions -- Three different approaches to a proof of convergence for Padé approximants -- On the continuity properties of the multivariate Padé—Operator T m,n -- The Marchaud inequality for generalized Moduli of smoothness -- Analytic properties of two-dimensional continued P-fraction expansions with periodical coefficients and their simultaneous Pade-Hermite approximants -- Modification of generalised continued fractions I definition and application to the limit-periodic case -- Convergence acceleration for continued fractions K(an/1), where an ? ? -- Perron-Carathéodory continued fractions -- On approximation of functions by two-dimensional continued fractions -- On the convergence of the multidimensional limit-periodic continued fractions -- Quelques generalisations de la representation de reels par des fractions continues -- Local properties of continued fractions -- A Stieltjes analysis of the K+-p forward elastic amplitude -- Smoothness conditions for Stieltjes measures from Pade approximants -- Exact multisoliton properties of rational approximants to the iterated solution of nonlinear evolution equations -- Application of rational approximations to some functional equations -- Operator rational functions and variational methods for the model operator -- The generalized Schur algorithm for the superfast solution of Toeplitz systems -- Strong unicity in nonlinear approximation.
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