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Polynomial Approximation on Polytopes (Memoirs of the American Mathematical Society)

Applied Mathematics

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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.

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Format: paperback
ASIN: 1470416662
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Applied Mathematics
Domain: Amazon UK
Release Date: 24 October 2014
Listed Since: 14 August 2014

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Polynomial Approximation on Polytopes (Memoirs of the American Mathematical Society)

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