集的切比雪夫半径序列的理想收敛性

IF 0.7 Q2 MATHEMATICS Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2022-12-30 DOI:10.31801/cfsuasmas.1123739

Hüseyin Albayrak

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摘要

本文研究赋范空间中一系列集的直径、切比雪夫半径、切比舍夫自半径和内半径。我们证明了如果一个集合序列是I-Hausdorff收敛于一个集合，则该序列的Chebyshev半径序列是I-收敛的。对于直径序列、切比雪夫自半径和该序列的内半径也显示出类似的关系。

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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Ideal convergence of a sequence of Chebyshev radii of sets

In this paper, we investigate the diameters, Chebyshev radii, Chebyshev self-radii and inner radii of a sequence of sets in the normed spaces. We prove that if a sequence of sets is I -Hausdorff convergent to a set, the sequence of Chebyshev radii of that sequence is I-convergent. Similar relations are showed for the sequence of diameters, Chebyshev self-radii and inner radii of that sequence.

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Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics MATHEMATICS-

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