Hausdorff dimension of the graph of the error-sum function of a-Lüroth series

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

Let a be a countable partition of the unit interval [0,1]. In this paper, we will introduce the error-sum function of a-Lüroth series and determine the Hausdorff dimension of its graph when the partition a is eventually decreasing. Some other properties of the error-sum function are also investigated.

Anahtar Kelimeler:

Hausdorff dimension, the a-Lüroth series, error-sum function

Hausdorff dimension of the graph of the error-sum function of a-Lüroth series

Keywords:

Hausdorff dimension, the a-Lüroth series, error-sum function,

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