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Zeitschrift für Analysis und ihre Anwendungen

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Volume 5, Issue 3, 1986, pp. 253–264
DOI: 10.4171/ZAA/197

Published online: 1986-06-30

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

Elias Wegert[1]

(1) Bergakademie Freiberg, Germany

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.

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Wegert Elias: Zum Beweis einer Jackson-Typ-Ungleichung mit Hilfe spezieller Kommutatoren. Z. Anal. Anwend. 5 (1986), 253-264. doi: 10.4171/ZAA/197