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Theory of uniform approximation of functions by polynomials / Vladislav K. Dzyadyk, Igor A. Shevchuk.
- Format:
- Book
- Author/Creator:
- Dzi︠a︡dyk, V. K. (Vladislav Kirillovich), 1919-1998.
- Language:
- English
- Subjects (All):
- Approximation theory.
- Functional analysis.
- Physical Description:
- 1 online resource (496 p.)
- Edition:
- 1st ed.
- Other Title:
- Uniform approximation of functions by polynomials
- Place of Publication:
- Berlin ; New York : Walter De Gruyter, c2008.
- Language Note:
- English
- Summary:
- A thorough, self-contained and easily accessible treatment of the theory on the polynomial best approximation of functions with respect to maximum norms. The topics include Chebychev theory, Weierstraß theorems, smoothness of functions, and continuation of functions.
- Contents:
- Frontmatter
- Contents
- Chapter 1. Chebyshev theory and its development
- Chapter 2. Weierstrass theorems
- Chapter 3. On smoothness of functions
- Chapter 4. Extension
- Chapter 5. Direct theorems on the approximation of periodic functions
- Chapter 6. Inverse theorems on the approximation of periodic functions
- Chapter 7. Approximation by polynomials
- Backmatter
- Notes:
- Description based upon print version of record.
- Includes bibliographical references (p. [437]-477) and index.
- ISBN:
- 9786612196980
- 9781282196988
- 1282196987
- 9783119159456
- 311915945X
- 9783110208245
- 3110208245
- OCLC:
- 476197368
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