EAN: 9783030052270

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This textbook offers an accessible introduction to the theory and numerics of approximation methods combining classical topics of approximation with recent advances in mathematical signal processing and adopting a constructive approach in which the development of numerical algorithms for data analysis plays an important role.The following topics are covered:least-squares approximation and regularization methods interpolation by algebraic and trigonometric polynomialsbasic results on best approximationsEuclidean approximationChebyshev approximationasymptotic concepts: error estimates and convergence ratessignal approximation by Fourier and wavelet methodskernel-based multivariate approximationapproximation methods in computerized tomographyProviding numerous supporting examples graphical illustrations and carefully selected exercises this textbook is suitable for introductory courses seminars and distance learning programs on approximation for undergraduate students.

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