Chebyshev splines and Kolmogorov inequalities /
"This monograph has its origin in our desire to describe advances in the theory of extremal problems in classes of functions defined by a majorizing modulus of continuity [omega]. In particular, the book gives an extensive account of structural, limiting, and extremal properties of perfect [ome...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Basel ; Boston :
Birkhäuser Verlag,
©1998.
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| Series: | Operator theory, advances and applications
v. 105. |
| Subjects: |
Table of Contents:
- Ch. 1. Auxiliary Results
- Ch. 2. Maximization of Functionals in H[superscript [omega]][a, b] and Perfect [omega]-Splines
- Ch. 3. Fredholm Kernels
- Ch. 4. Review of Classical Chebyshev Polynomial Splines
- Ch. 5. Additive Kolmogorov-Landau Inequalities
- Ch. 6. Proof of the Main Result
- Ch. 7. Properties of Chebyshev [omega]-Splines
- Ch. 8. Chebyshev [omega]-Splines on the Half-line R[subscript +]
- Ch. 9. Maximization of Integral Functionals in H[superscript [omega]] [actual symbol not reproducible]
- Ch. 10. Sharp Kolmogorov Inequalities in W[superscript [tau]] H[superscript [omega]] (R)
- Ch. 11. Landau and Hadamard Inequalities in W[superscript [tau]]H[superscript [omega]](R[subscript +]) and W[superscript [tau]]H[superscript [omega]](R)
- Ch. 12. Sharp Kolmogrov-Landau inequalities in W[superscript 2]H[superscript [omega]](R) AND W[superscript 2]H[superscript [omega]](R[subscript +])
- Ch. 13. Chebyshev [omega]-Splines in the Problem of N-Width of the Functional Class W[superscript [tau]] H[superscript [omega]][0, 1]
- Ch. 14. Function in W[superscript [tau]]H[superscript [omega]][-1, 1] Deviating Most from Polynomials of Degree [tau]
- Ch. 15. N-Widths of the Class W[superscript [tau]]H[superscript [omega]][-1, 1]
- Ch. 16. Lower Bounds for the N-Widths of the Class W[superscript [tau]]H[superscript [omega]][n]
- App. A. Kolmogorov Problem for Functions f [actual symbol not reproducible]
- App. B. Kolmogorov Problems in W[superscript 1]H[superscript [omega]](R[subscript +]) and W[superscript 1]H[superscript [omega]](R).