Density of Points of Continuity of the Distance Function for Union of Half-Spaces in Asymmetric Spaces

The density of points of continuity of the distance function for a union of half-spaces is studied. We also study the Chebyshev deviation from a family of half-spaces in asymmetric cone spaces.

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Publication Details

Journal
Mathematical Notes
Published
2025-10-01
DOI
https://doi.org/10.1134/s0001434625605052
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

Density of Points of Continuity of the Distance Function for Union of Half-Spaces in Asymmetric Spaces

I. G. Tsar’kov
Mathematical Notes
Approximation Theory and Sequence Spaces
article

Density of Points of Continuity of the Distance Function for Union of Half-Spaces in Asymmetric Spaces

I. G. Tsar’kov
article en

Abstract

The density of points of continuity of the distance function for a union of half-spaces is studied. We also study the Chebyshev deviation from a family of half-spaces in asymmetric cone spaces.

Mathematical NotesVol. 118(3-4)
Lomonosov Moscow State University (RU), Moscow Center For Continuous Mathematical Education (RU)
Reduced inequalities
Openalex Percentile: Top 23%
Approximation Theory and Sequence Spaces
DOISourceOpenAlex
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Density of Points of Continuity of the Distance Function for Union of Half-Spaces in Asymmetric Spaces — I. G. Tsar’kov · Mathematical Notes (2025) | TGRS Research Map | TGRS