Coupled with its sequel, this book gives a connected, unified exposition of Approximation Theory for functions of one real variable. It describes spaces of functions such as Sobolev, Lipschitz, Besov rearrangement-invariant function spaces and interpolation of operators. Other topics include Weierstrauss and best approximation theorems, properties of polynomials and splines. It contains history and proofs with an emphasis on principal results.
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Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The present book deals with some basic problems of Approximation Theory: with properties of polynomials and splines, with approximation by poly- mials, splines, linear operators. It also provides the necessary material ab out different function spaces. In some sense, this is a modern version of the corre sponding parts of the book of one of us (Lorentz [A-1966]). We have tried to give a complete exposition of the main, basic theorems of the theory, without going into too much detail, treating the most general cases or discussing very special problems. There are essential limitations: this is a book about approximation of functions of one real variable. But Approxima tion Theory of functions of several real or of complex variables would require new books. Very little is given on interpolation. But even with these restric tions, proofs of some deep and important results, like Korneichuk's theorems about approximation in Lipschitz spaces, could not be included. Another book, with different authors, 'Constructive Approximation, Advanced Problems', is in preparation. There is an extensive bibliography, which can be used also as an Author Index: each paper is supplied with references for the page or pages where it has been used. 466 pp. Englisch. Seller Inventory # 9783540506270
Book Description Condition: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. Seller Inventory # ria9783540506270_lsuk
Book Description Condition: New. Seller Inventory # 4183654-n
Book Description Condition: New. Seller Inventory # 4183654-n
Book Description Hardcover. Condition: new. Seller Inventory # 9783540506270
Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Coupled with its sequel, this book gives a connected, unified exposition of Approximation Theory for functions of one real variable. It describes spaces of functions such as Sobolev, Lipschitz, Besov rearrangement-invariant function spaces and interpolat. Seller Inventory # 4891649
Book Description Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The present book deals with some basic problems of Approximation Theory: with properties of polynomials and splines, with approximation by poly- mials, splines, linear operators. It also provides the necessary material ab out different function spaces. In some sense, this is a modern version of the corre sponding parts of the book of one of us (Lorentz [A-1966]). We have tried to give a complete exposition of the main, basic theorems of the theory, without going into too much detail, treating the most general cases or discussing very special problems. There are essential limitations: this is a book about approximation of functions of one real variable. But Approxima tion Theory of functions of several real or of complex variables would require new books. Very little is given on interpolation. But even with these restric tions, proofs of some deep and important results, like Korneichuk's theorems about approximation in Lipschitz spaces, could not be included. Another book, with different authors, 'Constructive Approximation, Advanced Problems', is in preparation. There is an extensive bibliography, which can be used also as an Author Index: each paper is supplied with references for the page or pages where it has been used. Seller Inventory # 9783540506270
Book Description Condition: New. Seller Inventory # ABLIING23Mar3113020168552
Book Description Condition: New. Seller Inventory # I-9783540506270
Book Description Condition: New. Offers a connected, unified exposition of Approximation Theory for functions of one real variable. This book describes spaces of functions such as Sobolev, Lipschitz, Besov rearrangement-invariant function spaces and interpolation of operators. Series: Die Grundlehren der Mathematischen Wissenschaften. Num Pages: 462 pages, biography. BIC Classification: PBKB; PBKD. Category: (P) Professional & Scholarly; (UP) Postgraduate. Dimension: 241 x 157 x 31. Weight in Grams: 818. . 1993. Hardback. . . . . Seller Inventory # V9783540506270