Polynomial Approximation on Polytopes
Seiten
2014
American Mathematical Society (Verlag)
978-1-4704-1666-9 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-1666-9 (ISBN)
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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.
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.
Vilmos Totik, Bolyai Institute, University of Szeged, Hungary.
| Erscheint lt. Verlag | 30.10.2014 |
|---|---|
| Reihe/Serie | Memoirs of the American mathematical Society |
| Verlagsort | Providence |
| Sprache | englisch |
| Maße | 178 x 254 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Angewandte Mathematik |
| Mathematik / Informatik ► Mathematik ► Graphentheorie | |
| ISBN-10 | 1-4704-1666-2 / 1470416662 |
| ISBN-13 | 978-1-4704-1666-9 / 9781470416669 |
| Zustand | Neuware |
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