几乎收敛序列集合的Hausdorff维数

IF 0.5 4区数学 Q3 MATHEMATICS

Glasgow Mathematical Journal Pub Date : 2022-01-06 DOI:10.1017/S0017089521000446

A. Usachev

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引用次数: 1

摘要

摘要本文讨论了[0,1]中的数集，使得它们的二进制表示几乎是收敛的。本研究的目的是计算这类集合的Hausdorff维数。以前，这种类型的结果被证明是针对单一求和方法（例如Cesàro、Abel、Toeplitz）。这项研究将结果扩展到广泛的矩阵求和方法。

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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Hausdorff dimension of the set of almost convergent sequences

Abstract The paper deals with the sets of numbers from [0,1] such that their binary representation is almost convergent. The aim of the study is to compute the Hausdorff dimensions of such sets. Previously, the results of this type were proved for a single summation method (e.g. Cesàro, Abel, Toeplitz). This study extends the results to a wide range of matrix summation methods.

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来源期刊

Glasgow Mathematical Journal 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Glasgow Mathematical Journal publishes original research papers in any branch of pure and applied mathematics. An international journal, its policy is to feature a wide variety of research areas, which in recent issues have included ring theory, group theory, functional analysis, combinatorics, differential equations, differential geometry, number theory, algebraic topology, and the application of such methods in applied mathematics. The journal has a web-based submission system for articles. For details of how to to upload your paper see GMJ - Online Submission Guidelines or go directly to the submission site.