Abstract
In this article, we employ the uniform and Lp, 1≤p<∞ approximation properties of general smooth multivariate singular integral operators over RN, N≥1. It is a trigonometric relief approach with detailed applications to the corresponding smooth multivariate Gauss–Weierstrass singular integral operators. The results are quantitative via Jackson-type inequalities involving the first uniform and Lp moduli of continuity.
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