1935American Mathematical Society eBooksRequires access

Interpolation and approximation

J. L. Walsh

Open publisher page 36 citations

Abstract

Possibility of approximation, analytic functions Possibility of approximation, continued Interpolation and lemniscates Degree of convergence of polynomials. Overconvergence Best Approximation by polynomials Orthogonality and least squares Interpolation by polynomials Interpolation by rational functions Approximation by rational functions Interpolation and functions analytic in the unit circle Approximation with auxiliary conditions and to non-analytic functions Existence and uniqueness of rational functions of best approximation Appendix Bibliography Index.

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What this paper is about

Possibility of approximation, analytic functions Possibility of approximation, continued Interpolation and lemniscates Degree of convergence of polynomials. Overconvergence Best Approximation by polynomials Orthogonality and least squares Interpolation by polynomials Interpolation by rational functions Approximation by rational functions Interpolation and functions analytic in the unit circle Approximation with auxiliary conditions and to non-analytic functions Existence and uniqueness of rational functions of best approximation Appendix Bibliography Index.

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Available abstract

Possibility of approximation, analytic functions Possibility of approximation, continued Interpolation and lemniscates Degree of convergence of polynomials. Overconvergence Best Approximation by polynomials Orthogonality and least squares Interpolation by polynomials Interpolation by rational functions Approximation by rational functions Interpolation and functions analytic in the unit circle Approximation with auxiliary conditions and to non-analytic functions Existence and uniqueness of rational functions of best approximation Appendix Bibliography Index.

Key concepts: Interpolation (computer graphics), Mathematics, Equioscillation theorem, Spouge's approximation, Trigonometric interpolation, Rational function, Approximation theory, Applied mathematics

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