Zum Beweis einer Jackson-Typ-Ungleichung mit Hilfe spezieller Kommutatoren

  • Elias Wegert

    Bergakademie Freiberg, Germany

Abstract

We study the commutators of some differential operators and operators connected with the error of approximation for proving an inequality of Jackson-type for trigonometrical polynomials in a scale of (anisotropic) Sobolev spaces (with weight). The results are applicable to construct systems of functions with high degree approximation satisfying given boundary conditions.

Cite this article

Elias Wegert, Zum Beweis einer Jackson-Typ-Ungleichung mit Hilfe spezieller Kommutatoren. Z. Anal. Anwend. 5 (1986), no. 3, pp. 253–264

DOI 10.4171/ZAA/197