EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 55(69), pp. 39--46 (1994)

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On the limit properties of the Picard singular integral

M. Górze\'nska and L. Rempulska

Institute of Mathematics, Technical University of Pozna\'n, Piotrowo 3A, 60-965 Pozna\'n, Poland

Abstract: We present some direct and inverse approximation theorems for the Picard singular integral in the spaces $L^p$ ($1\leq p\leq\infty$) and the generalized Holder spaces. Those theorems extend and improve the results for the Picard integral given in [1]--[3].

Classification (MSC2000): 41A25

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Electronic fulltext finalized on: 1 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition