DOI: 10.3390/math12010115 ISSN: 2227-7390

Trigonometric Induced Multivariate Smooth Gauss–Weierstrass Singular Integrals Approximation

George A. Anastassiou
  • General Mathematics
  • Engineering (miscellaneous)
  • Computer Science (miscellaneous)

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.