Polynomial Approximation on Polytopes
Sep 2014 · American Mathematical Soc.
I-Ebook
112
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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.
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 o...
Thola okuningi
Mayelana nomlobi
Vilmos Totik, Bolyai Institute, University of Szeged, Hungary.
Vilmos Totik, Bolyai Institute, University of Szeged, Hungary.
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