Rempulska, L.; Walczak, Z. On modified Picard and Gauss-Weierstrass singular integrals. (English) Zbl 1097.42009 Ukr. Mat. Zh. 57, No. 11, 1577-1584 (2005) and Ukr. Math. J. 57, No. 11, 1844-1852 (2005). Summary: We introduce a certain modification of the Picard and Gauss-Weierstrass singular integrals and prove approximation theorems for them. Cited in 4 Documents MSC: 42A50 Conjugate functions, conjugate series, singular integrals 42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.) 41A25 Rate of convergence, degree of approximation Keywords:modified Picard singular integral; Gauss-Weierstrass singular integral; approximation PDFBibTeX XMLCite \textit{L. Rempulska} and \textit{Z. Walczak}, Ukr. Mat. Zh. 57, No. 11, 1577--1584 (2005; Zbl 1097.42009) Full Text: DOI