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On the Continuity of Best Approximations by Constants on Balls in Metric Measure Spaces
I. N. Katkovskaya, V. G. Krotov Belarusian National Technical University
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
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
Linking options:
https://www.mathnet.ru/eng/mzm12668https://doi.org/10.4213/mzm12668 https://www.mathnet.ru/eng/mzm/v107/i2/p221
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Abstract page: | 342 | Full-text PDF : | 40 | References: | 33 | First page: | 12 |
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