EAN: 9783030052270

APPROXIMATION THEORY AND ALGORITHMS FOR DATA AN...

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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