
Polynomial Approximation on Polytopes
Vilmos Totik(Author)
American Mathematical Society (Publisher)
Published on 30. October 2014
Book
Paperback/Softback
110 pages
978-1-4704-1666-9 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
ISBN-13
978-1-4704-1666-9 (9781470416669)
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Schweitzer Classification
Person
Vilmos Totik, Bolyai Institute, University of Szeged, Hungary.