Polynomial approximation on polytopes / Vilmos Totik.

Format:

Book

Author/Creator:

Totik, V.

Series:

Memoirs of the American Mathematical Society ; v. 1091.

Memoirs of the American Mathematical Society, 1947-6221 ; v. 1091

Language:

English

Subjects (All):

Polytopes.

Orthogonal polynomials.

Geometry, Riemannian.

Physical Description:

1 online resource (pages cm.)

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2014.

System Details:

Mode of access : World Wide Web

text file

Contents:

Chapter 1. The result Chapter 2. Outline of the proof Chapter 3. Fast decreasing polynomials Chapter 4. Approximation on simple polytopes Chapter 5. Polynomial approximants on rhombi Chapter 6. Pyramids and local moduli on them Chapter 7. Local approximation on the sets $K_a$ Chapter 8. Global approximation of $F=F_n$ on $S_{1/32}$ excluding a neighborhood of the apex Chapter 9. Global approximation of $f$ on $S_{1/64}$ Chapter 10. Completion of the proof of Theorem 1.1 Chapter 11. Approximation in ${\mathbf R}^d$ Chapter 12. A $K$-functional and the equivalence theorem Chapter 13. The $L^p$ result Chapter 14. Proof of the $L^p$ result Chapter 15. The dyadic decomposition Chapter 16. Some properties of $L^p$ moduli of smoothness Chapter 17. Local $L^p$ moduli of smoothness Chapter 18. Local approximation Chapter 19. Global $L^p$ approximation excluding a neighborhood of the apex Chapter 20. Strong direct and converse inequalities Chapter 21. The $K$-functional in $L^p$ and the equivalence theorem

Notes:

Includes bibliographical references.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2014

Description based on print version record.

Other Format:

Print version: Totik, V. Polynomial approximation on polytopes /

ISBN:

9781470418946

Access Restriction:

Restricted for use by site license.