Approximation problems in analysis and probability [electronic resource] / M.P. Heble.
Material type:
TextSeries: North-Holland mathematics studies ; 159.Publication details: Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1989. Description: 1 online resource (xi, 245 p.)ISBN: 9780444880215; 0444880216Subject(s): Approximation theory | Mathematical analysis | Probabilities | Approximation, th�eorie de l' | Analyse math�ematique | Probabilit�es | Approximation theory | Mathematical analysis | ProbabilitiesGenre/Form: Electronic books.Additional physical formats: Print version:: Approximation problems in analysis and probability.DDC classification: 511/.4 LOC classification: QA221 | .H375 1989ebOnline resources: ScienceDirect | Volltext Summary: This is an exposition of some special results on analytic or C & infin;-approximation of functions in the strong sense, in finite- and infinite-dimensional spaces. It starts with H. Whitney's theorem on strong approximation by analytic functions in finite-dimensional spaces and ends with some recent results by the author on strong C & infin;-approximation of functions defined in a separable Hilbert space. The volume also contains some special results on approximation of stochastic processes. The results explained in the book have been obtained over a span of nearly five decades.
This is an exposition of some special results on analytic or C & infin;-approximation of functions in the strong sense, in finite- and infinite-dimensional spaces. It starts with H. Whitney's theorem on strong approximation by analytic functions in finite-dimensional spaces and ends with some recent results by the author on strong C & infin;-approximation of functions defined in a separable Hilbert space. The volume also contains some special results on approximation of stochastic processes. The results explained in the book have been obtained over a span of nearly five decades.
Includes bibliographical references (p. [237]-241).
Description based on print version record.
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