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Matematicheskie Zametki, 2020, Volume 107, Issue 2, Pages 221–228
DOI: https://doi.org/10.4213/mzm12668 (Mi mzm12668) 		 
On the Continuity of Best Approximations by Constants on Balls in Metric Measure Spaces

I. N. Katkovskaya, V. G. Krotov

Belarusian National Technical University
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DOI: https://doi.org/10.4213/mzm12668
Abstract: Conditions for the constants of best approximation in the metric of the spaces $L^p(B)$ to be continuous or semicontinuous as functions of the center of a ball $B$ of fixed radius in a metric space with Borel measure are studied.
Keywords: metric measure space, best approximations by constants.
Received: 14.04.2019
English version:
Mathematical Notes, 2020, Volume 107, Issue 2, Pages 257–263
DOI: https://doi.org/10.1134/S0001434620010253
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: I. N. Katkovskaya, V. G. Krotov, “On the Continuity of Best Approximations by Constants on Balls in Metric Measure Spaces”, Mat. Zametki, 107:2 (2020), 221–228; Math. Notes, 107:2 (2020), 257–263
Citation in format AMSBIB
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