Contributions to uniformly distributed functions. I: Discrepancy of fractal sets

DOI10.3792/pjaa.67.49zbMath0736.11037OpenAlexW2004129952MaRDI QIDQ1178770

Robert F. Tichy

Publication date: 26 June 1992

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.67.49

zbMATH Keywords

lower boundsBeck's Fourier transformation methoddiscrepancy of continuous functionsLipschitz discrepancyuniform distribution of functions

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Continuous, (p)-adic and abstract analogues (11K41)

Related Items (1)

Contributions to uniformly distributed functions. II: Completely uniformly distributed functions

Cites Work

• Über C-Gleichverteilung
• The random multisection problem, travelling waves and the distribution of the height of \(m\)-ary search trees
• C-uniform distribution on compact metric spaces
• Irregularities of continuous distributions
• The discrepancy of C-uniformly distributed multidimensional functions
• Contributions to uniformly distributed functions. II: Completely uniformly distributed functions
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