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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.

MSC:

42A50 Conjugate functions, conjugate series, singular integrals
42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
41A25 Rate of convergence, degree of approximation
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