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On the Continuity of Best Approximations by Constants on Balls in Metric Measure Spaces

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Abstract

Conditions for the constants of best approximation in the metric of the spaces Lp(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.

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Authors and Affiliations

  1. Belarusian National Technical University, Minsk, 220013, Belarus

    I. N. Katkovskaya & V. G. Krotov

Authors
  1. I. N. Katkovskaya
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  2. V. G. Krotov
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Corresponding authors

Correspondence to I. N. Katkovskaya or V. G. Krotov.

Additional information

Russian Text © The Author(s), 2020, published in Matematicheskie Zametki, 2020, Vol. 107, No. 2, pp. 221–228.

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Katkovskaya, I.N., Krotov, V.G. On the Continuity of Best Approximations by Constants on Balls in Metric Measure Spaces. Math Notes 107, 257–263 (2020). https://doi.org/10.1134/S0001434620010253

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  • DOI: https://doi.org/10.1134/S0001434620010253

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