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A collection of the various old and new results, centered around the following simple observation of J L Walsh. This book is particularly useful for researchers in approximation and interpolation theory.

Polynomials. --- Mathematics. --- Math --- Science --- Algebra --- Global analysis (Mathematics). --- Functions of complex variables. --- Sequences (Mathematics). --- Differential equations, partial. --- Approximations and Expansions. --- Analysis. --- Functions of a Complex Variable. --- Sequences, Series, Summability. --- Several Complex Variables and Analytic Spaces. --- Partial differential equations --- Mathematical sequences --- Numerical sequences --- Mathematics --- Complex variables --- Elliptic functions --- Functions of real variables --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Approximation theory. --- Mathematical analysis. --- Analysis (Mathematics). --- 517.1 Mathematical analysis --- Mathematical analysis --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems --- Calculus. --- Analysis (Mathematics) --- Fluxions (Mathematics) --- Infinitesimal calculus --- Limits (Mathematics) --- Geometry, Infinitesimal

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Approximation theory --- -517.518.8 --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems --- Congresses --- Approximation of functions by polynomials and their generalizations --- 517.518.8 Approximation of functions by polynomials and their generalizations --- 517.518.8