Polynomial Approximation on Polytopes
Series: Memoirs of the American mathematical Society;
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Product details:
- Publisher American Mathematical Society
- Date of Publication 30 October 2014
- Number of Volumes Paperback
- ISBN 9781470416669
- Binding Paperback
- No. of pages110 pages
- Size 254x178 mm
- Language English 0
Categories
Short description:
Polynomial approximation on convex polytopes in d is considered in uniform and Lp-norms. For an appropriate modulus of smoothness matching direct and converse estimates are proven. In the Lp -case so called strong direct and converse results are also verified. The equivalence of the moduli of smoothness with an appropriate K -functional follows as a consequence.
MoreLong description:
Polynomial approximation on convex polytopes in d is considered in uniform and Lp-norms. For an appropriate modulus of smoothness matching direct and converse estimates are proven. In the Lp -case so called strong direct and converse results are also verified. The equivalence of the moduli of smoothness with an appropriate K -functional follows as a consequence.
The results solve a problem that was left open since the mid 1980s when some of the present findings were established for special, so-called simple polytopes.
Polynomial Approximation on Polytopes
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