Some estimates of the \(H_{\infty}\)-uniform distribution

DOI10.1007/BF01364342zbMath0624.10040OpenAlexW2314433008MaRDI QIDQ1092099

Peter Schatte

Publication date: 1987

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178328

zbMATH Keywords

speed of convergence\(H_{\infty }\)-meansH\({}_{\infty }\)-uniform distributionsummation method \(H_{\infty }\)

Mathematics Subject Classification ID

Special methods of summability (40G99) General theory of distribution modulo (1) (11K06)

Related Items (3)

On Benford's law to variable base ⋮ The asymptotic distribution of elements in automatic sequences ⋮ Survey article: on weighted densities and their connection with the first digit phenomenon

Cites Work

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• On Benford's law
• On H∞ -Summability and the Uniform Distribution of Sequences
• On the Asymptotic Logarithmic Distribution of the Floating-Point Mantissas of Sums
• On the Almost Sure Convergence of Floating-Point Mantissas and Benford's Law
• Ein Kriterium für dieH∞-Limitierbarkeit
• Zur Verteilung der Mantisse in der Gleitkommadarstellung einer Zufallsgröße

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