Book contents
- Frontmatter
- Contents
- Preface
- List of notation
- 1 Best approximation and duality in extremal problems
- 2 Polynomials and spline functions as approximating tools
- 3 Comparison theorems and inequalities for the norms of functions and their derivatives
- 4 Polynomial approximation of classes of functions with bounded rth derivative in Lp
- 5 Spline approximation of classes of functions with a bounded rth derivative
- 6 Exact constants in Jackson inequalities
- 7 Approximation of classes of functions determined by modulus of continuity
- 8 N-widths of functional classes and closely related extremal problems
- Appendix
- References
- Index of notation
- Index
4 - Polynomial approximation of classes of functions with bounded rth derivative in Lp
Published online by Cambridge University Press: 05 April 2013
- Frontmatter
- Contents
- Preface
- List of notation
- 1 Best approximation and duality in extremal problems
- 2 Polynomials and spline functions as approximating tools
- 3 Comparison theorems and inequalities for the norms of functions and their derivatives
- 4 Polynomial approximation of classes of functions with bounded rth derivative in Lp
- 5 Spline approximation of classes of functions with a bounded rth derivative
- 6 Exact constants in Jackson inequalities
- 7 Approximation of classes of functions determined by modulus of continuity
- 8 N-widths of functional classes and closely related extremal problems
- Appendix
- References
- Index of notation
- Index
Summary
![Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'](https://static.cambridge.org/content/id/urn%3Acambridge.org%3Aid%3Abook%3A9781107325791/resource/name/firstPage-9781107325791c4_p155-210_CBO.jpg)
- Type
- Chapter
- Information
- Exact Constants in Approximation Theory , pp. 155 - 210Publisher: Cambridge University PressPrint publication year: 1991