On the Continuity of Best Approximations by Constants on Balls in Metric Measure Spaces
Autor: | I. N. Katkovskaya, V. G. Krotov |
---|---|
Rok vydání: | 2020 |
Předmět: |
General Mathematics
010102 general mathematics Mathematical analysis Mathematics::General Topology 02 engineering and technology Center (group theory) Radius 01 natural sciences Measure (mathematics) Metric space 020303 mechanical engineering & transports 0203 mechanical engineering Metric (mathematics) Ball (bearing) 0101 mathematics Borel measure Mathematics |
Zdroj: | Mathematical Notes. 107:257-263 |
ISSN: | 1573-8876 0001-4346 |
DOI: | 10.1134/s0001434620010253 |
Popis: | 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. |
Databáze: | OpenAIRE |
Externí odkaz: |