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Polynomial Approximation on Polytopes Book PDF Summary

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.

Detail Book of Polynomial Approximation on Polytopes PDF

Polynomial Approximation on Polytopes
  • Author : Vilmos Totik
  • Release : 29 September 2014
  • Publisher : American Mathematical Soc.
  • ISBN : 9781470416669
  • Genre : Mathematics
  • Total Page : 124 pages
  • Language : English
  • PDF File Size : 14,9 Mb

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