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Approximation Theory
Anastassiou, George A.; Gal, Sorin G.
€ 138.42
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Description for Approximation Theory
Hardback. A comprehensive study of the computational aspects of the moduli of smoothness and the Global Smoothness Preservation Property (GSPP). It includes applications of moduli of smoothness and GSPP concepts to approximation theory, probability theory, numerical and functional analysis; and a bibliography and index. Num Pages: 538 pages, biography. BIC Classification: PBKD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 235 x 155 x 30. Weight in Grams: 934.
We study in Part I of this monograph the computational aspect of almost all moduli of continuity over wide classes of functions exploiting some of their convexity properties. To our knowledge it is the first time the entire calculus of moduli of smoothness has been included in a book. We then present numerous applications of Approximation Theory, giving exact val ues of errors in explicit forms. The K-functional method is systematically avoided since it produces nonexplicit constants. All other related books so far have allocated very little space to the computational aspect of moduli of smoothness. In Part II, we ... Read more
We study in Part I of this monograph the computational aspect of almost all moduli of continuity over wide classes of functions exploiting some of their convexity properties. To our knowledge it is the first time the entire calculus of moduli of smoothness has been included in a book. We then present numerous applications of Approximation Theory, giving exact val ues of errors in explicit forms. The K-functional method is systematically avoided since it produces nonexplicit constants. All other related books so far have allocated very little space to the computational aspect of moduli of smoothness. In Part II, we ... Read more
Product Details
Format
Hardback
Publication date
1999
Publisher
Birkhauser Boston Inc United States
Number of pages
538
Condition
New
Number of Pages
525
Place of Publication
Secaucus, United States
ISBN
9780817641511
SKU
V9780817641511
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Approximation Theory
"This monograph is an intensive and comprehensive study of the computational aspects of the moduli of smoothness and the Global Smoothness Preservation Property (GSPP)."
-Zentralblatt MATH "Going over the introduction, the reader will get an almost full account, without proofs, of the results presented in the monograph… There are many questions for further research arising from this ... Read more
-Zentralblatt MATH "Going over the introduction, the reader will get an almost full account, without proofs, of the results presented in the monograph… There are many questions for further research arising from this ... Read more