Estimates of the Chebyshev Radius in Terms of the MAX-Metric Function and the MAX-Projection Operator

IF 1.7 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Russian Journal of Mathematical Physics Pub Date : 2023-03-17 DOI:10.1134/S1061920823010107

I. G. Tsar’kov

引用次数: 0

Abstract

Singleton approximations of sets in asymmetric spaces are studied. Estimate of the Chebyshev radius of a set depending on the behavior of the MAX-distance function and if the MAX - projection operator has not too many points of discontinuity.

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用最大-度量函数和最大-投影算子估计切比雪夫半径

研究了非对称空间中集合的单态逼近。根据最大距离函数的行为和如果最大投影算子没有太多的不连续点，估计集合的切比雪夫半径。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Russian Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

3.10

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Russian Journal of Mathematical Physics is a peer-reviewed periodical that deals with the full range of topics subsumed by that discipline, which lies at the foundation of much of contemporary science. Thus, in addition to mathematical physics per se, the journal coverage includes, but is not limited to, functional analysis, linear and nonlinear partial differential equations, algebras, quantization, quantum field theory, modern differential and algebraic geometry and topology, representations of Lie groups, calculus of variations, asymptotic methods, random process theory, dynamical systems, and control theory.