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almost convergence

Glasgow Mathematical Journal (1)

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1 results

Hausdorff dimension of the set of almost convergent sequences
Part of
Alexandr Usachev
Journal:

Glasgow Mathematical Journal / Volume 64 / Issue 3 / September 2022

Published online by Cambridge University Press:

06 January 2022, pp. 691-697

Print publication:

September 2022
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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.