Approximation of continuously differentiable functions [electronic resource] / Jos�e G. Llavona.
Material type:
TextSeries: North-Holland mathematics studies ; 130. | Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 112.Publication details: Amsterdam ; New York : New York, N.Y. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1986. Description: 1 online resource (xiv, 241 p.)ISBN: 9780444701282; 0444701281Subject(s): Differentiable functions | Approximation theory | Banach spaces | Fonctions diff�erentiables | Approximation, Th�eorie de l' | Banach, Espaces de | Approximation theory | Banach spaces | Differentiable functionsGenre/Form: Electronic books.Additional physical formats: Print version:: Approximation of continuously differentiable functions.DDC classification: 510 | 515.8 LOC classification: QA1 | .N86 no. 112ebQA331.5 | .L53 1986ebOnline resources: ScienceDirect | Volltext Summary: This self-contained book brings together the important results of a rapidly growing area. As a starting point it presents the classic results of the theory. The book covers such results as: the extension of Wells' theorem and Aron's theorem for the fine topology of order m; extension of Bernstein's and Weierstrass' theorems for infinite dimensional Banach spaces; extension of Nachbin's and Whitney's theorem for infinite dimensional Banach spaces; automatic continuity of homomorphisms in algebras of continuously differentiable functions, etc.
This self-contained book brings together the important results of a rapidly growing area. As a starting point it presents the classic results of the theory. The book covers such results as: the extension of Wells' theorem and Aron's theorem for the fine topology of order m; extension of Bernstein's and Weierstrass' theorems for infinite dimensional Banach spaces; extension of Nachbin's and Whitney's theorem for infinite dimensional Banach spaces; automatic continuity of homomorphisms in algebras of continuously differentiable functions, etc.
Includes bibliographical references (p. 221-233) and index.
Description based on print version record.
There are no comments on this title.