The intrinsic connection between the fractal dimension of a real number sequence and convergence or divergence of the series formed by it
- 3 May 2024
- journal article
- research article
- Published by Elsevier in Journal of Mathematical Analysis and Applications
- Vol. 539 (1)
Abstract
No abstract availableKeywords
Funding Information
- National Natural Science Foundation of China
This publication has 10 references indexed in Scilit:
- Hausdorff and box dimensions of self-affine sets in a locally compact non-Archimedean fieldNonlinearity, 2023
- Dimensions of a class of self-affine Moran setsJournal of Mathematical Analysis and Applications, 2022
- Assouad dimension of planar self-affine setsTransactions of the American Mathematical Society, 2020
- Dimension of ergodic measures projected onto self‐similar sets with overlapsProceedings of the London Mathematical Society, 2020
- Sums of two self-similar Cantor setsJournal of Mathematical Analysis and Applications, 2019
- On the $L^q$-dimensions of measures on Hueter-Lalley type self-affine setsProceedings of the American Mathematical Society, 2017
- Average distances on self-similar sets and higher order average distances of self-similar measuresMathematische Zeitschrift, 2016
- Self-similar fractals with a given dimension and the application to quantitative linguisticsNonlinear Analysis: Real World Applications, 2012
- Dimension functions for fractal sets associated to seriesProceedings of the American Mathematical Society, 1994
- Fractal seriesMathematika, 1989