Examples and counterexamples for Riemann sums

DOI10.1016/S0019-3577(97)87563-5zbMath0923.28002WikidataQ124811831 ScholiaQ124811831MaRDI QIDQ1279763

Yann Bugeaud, Michel J. G. Weber

Publication date: 22 April 1999

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

almost everywhere convergence of Riemann sums

Mathematics Subject Classification ID

Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Integration with respect to measures and other set functions (28A25) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99) Limit theorems in probability theory (60F99)

Related Items (2)

On equivalency of martingales and related problems ⋮ Some theorems related to almost sure convergence of orthogonal series

Cites Work

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• Almost sure convergence and bounded entropy
• Some results in the theory of Riemann sums
• On the approximation of Lebesgue integrals by Riemann sums
• On Riemann sums and Lebesgue integrals
• Subadditive mean ergodic theorems
• RIEMANN SUMS AND LEBESGUE INTEGRALS
• A Pointwise Ergodic Theorem for the Group of Rational Rotations
• An Arithmetic Property of Riemann Sums
• On Khinchin's Conjecture about Strong Uniform Distribution

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