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
3 - Comparison theorems and inequalities for the norms of functions and their derivatives
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
- Type
- Chapter
- Information
- Exact Constants in Approximation Theory , pp. 101 - 154Publisher: Cambridge University PressPrint publication year: 1991