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Best Approximation by Linear Superpositions (Approximate Nomography)
S.Ya Khavinson
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Description for Best Approximation by Linear Superpositions (Approximate Nomography)
Hardback. Deals with problems of approximation of continuous or bounded functions of several variables by linear superposition of functions that are from the same class and have fewer variables. Series: Translations of Mathematical Monographs. Num Pages: 175 pages, Illustrations. BIC Classification: PBK. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 230. Weight in Grams: 539.
This book deals with problems of approximation of continuous or bounded functions of several variables by linear superposition of functions that are from the same class and have fewer variables. The main topic is the space of linear superpositions $D$ considered as a subspace of the space of continuous functions $C(X)$ on a compact space $X$. Such properties as density of $D$ in $C(X)$, its closedness, proximality, etc. are studied in great detail. The approach to these and other problems based on duality and the Hahn-Banach theorem is emphasized. Also, considerable attention is given to the discussion of the Diliberto-Straus ... Read more
This book deals with problems of approximation of continuous or bounded functions of several variables by linear superposition of functions that are from the same class and have fewer variables. The main topic is the space of linear superpositions $D$ considered as a subspace of the space of continuous functions $C(X)$ on a compact space $X$. Such properties as density of $D$ in $C(X)$, its closedness, proximality, etc. are studied in great detail. The approach to these and other problems based on duality and the Hahn-Banach theorem is emphasized. Also, considerable attention is given to the discussion of the Diliberto-Straus ... Read more
Product Details
Format
Hardback
Publication date
1996
Publisher
American Mathematical Society United States
Number of pages
175
Condition
New
Series
Translations of Mathematical Monographs
Place of Publication
Providence, United States
ISBN
9780821804223
SKU
V9780821804223
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
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