Polynomial Approximation on Polytopes

Polynomial Approximation on Polytopes
Author :
Publisher : American Mathematical Soc.
Total Pages : 124
Release :
ISBN-10 : 9781470416669
ISBN-13 : 1470416662
Rating : 4/5 (662 Downloads)

Book Synopsis Polynomial Approximation on Polytopes by : Vilmos Totik

Download or read book Polynomial Approximation on Polytopes written by Vilmos Totik and published by American Mathematical Soc.. This book was released on 2014-09-29 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polynomial approximation on convex polytopes in is considered in uniform and -norms. For an appropriate modulus of smoothness matching direct and converse estimates are proven. In the -case so called strong direct and converse results are also verified. The equivalence of the moduli of smoothness with an appropriate -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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