Abstract
We give a supplement to the theorem on the denseness of polynomials in the space C 0w established by Mergelyan in 1956 for the case where algebraic polynomials are dense in C 0w . In the case indicated, we give a complete description of all functions that can be approximated by algebraic polynomials in seminorm.
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 7, pp. 867–878, July, 2005.
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Bakan, A.G. Supplement to the Mergelyan Theorem on the Denseness of Algebraic Polynomials in the Space C 0w . Ukr Math J 57, 1021–1034 (2005). https://doi.org/10.1007/s11253-005-0245-0
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DOI: https://doi.org/10.1007/s11253-005-0245-0