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Item Details
Title: POLYNOMIAL APPROXIMATION ON POLYTOPES
By: Vilmos Totik
Format: Paperback

List price: £73.50


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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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