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Item Details
Title:
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POLYNOMIAL APPROXIMATION ON POLYTOPES
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By: |
Vilmos Totik |
Format: |
Paperback |
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List price:
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£73.50 |
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further information.
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ISBN 10: |
1470416662 |
ISBN 13: |
9781470416669 |
Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
Pub. date: |
30 October, 2014 |
Series: |
Memoirs of the American Mathematical Society 232 |
Pages: |
110 |
Synopsis: |
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. |
Publication: |
US |
Imprint: |
American Mathematical Society |
Returns: |
Returnable |
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