Article
On Uniform Distribution Modulo 1 and Functional Convergence
Authors
Abstract
In this note, we study the convergence of functional sequences. A criterion for uniform distribution mod 1 is derived. Then we study the parti- tions, block sequences and the uniform distribution preserving mappings. In the last part, we prove that to each one to one sequence dense in [0, 1] a regular ma- trix summation method such that this sequence is uniformly distributed mod 1 with respect to this method exists.
Keywords
uniform distribution, asymptotic density, matrix density, uniform distribution.
Citation
Pasteka, M. (2024). On uniform distribution modulo 1 and functional convergence. Uniform Distribution Theory, 19(1), 35–45. https://doi.org/10.2478/UDT-2024-0004
M. Pasteka, “On uniform distribution modulo 1 and functional convergence,” Uniform Distribution Theory, vol. 19, no. 1, pp. 35–45, 2024, doi: 10.2478/UDT-2024-0004.
Pasteka M. On uniform distribution modulo 1 and functional convergence. Uniform Distribution Theory. 2024;19(1):35–45. doi:10.2478/UDT-2024-0004.
Pasteka, M. (2024), ‘On uniform distribution modulo 1 and functional convergence’, Uniform Distribution Theory, 19(1), pp. 35–45. Available at: https://doi.org/10.2478/UDT-2024-0004.
Pasteka, Milan. “On Uniform Distribution Modulo 1 and Functional Convergence.” Uniform Distribution Theory, vol. 19, no. 1, 2024, pp. 35–45. https://doi.org/10.2478/UDT-2024-0004.
Pasteka, Milan. “On Uniform Distribution Modulo 1 and Functional Convergence.” Uniform Distribution Theory 19, no. 1 (2024): 35–45. https://doi.org/10.2478/UDT-2024-0004.
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- DOI: 10.2478/udt-2024-0004
- Type: article
- Source: Uniform distribution theory
- Published: 2024-12-01
- OpenAlex ID: W4407925928
Published by: Engineering Journals
