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Authors: GEORGE A. ANASTASSIOU.
In this article we continue with the study of approximation properties of smooth general singular integral operators over RN, N ³ 1. We produce multivariate Voronovskaya asymptotic type results and give quantitative results regarding the rate of convergence of multivariate singular integral operators to unit operator. We list specific multivariate singular integral operators that fulfill our theory.
Mathematics Subject Classification (2010): 41A35, 41A60, 41A80, 41A25.
Keywords: Multivariate general singular operator, multivariate Picard, Gauss-Weierstrass, Poisson Cauchy and trigonometric singular integrals, multivariate Voronovskaya type asymptotic expansion, rate of convergence.
