Geodesic
Hausdorff dimension of the set of almost convergent sequences
Glasgow mathematical journal, Tome 64 (2022) no. 3, pp. 691-697

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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.
DOI : 10.1017/S0017089521000446
Mots-clés : Hausdorff dimension, binary expansion, almost convergence 
Usachev, Alexandr. Hausdorff dimension of the set of almost convergent sequences. Glasgow mathematical journal, Tome 64 (2022) no. 3, pp. 691-697. doi: 10.1017/S0017089521000446
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     title = {Hausdorff dimension of the set of almost convergent sequences},
     journal = {Glasgow mathematical journal},
     pages = {691--697},
     year = {2022},
     volume = {64},
     number = {3},
     doi = {10.1017/S0017089521000446},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089521000446/}
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