Polynomial Approximation on Polytopes
Author | : Vilmos Totik |
Publisher | : American Mathematical Soc. |
Total Pages | : 124 |
Release | : 2014-09-29 |
ISBN-10 | : 9781470416669 |
ISBN-13 | : 1470416662 |
Rating | : 4/5 (662 Downloads) |
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.