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Approximation of Lebesgue integrals by Riemann sums and lattice points in domains with fractal boundary

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Publication:1357591
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DOI10.1007/BF01326765zbMath0939.11033MaRDI QIDQ1357591

Leonardo Colzani

Publication date: 7 July 1997

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

Full work available at URL: https://eudml.org/doc/178775


zbMATH Keywords

fractalsLebesgue integralLattice pointsRiemann sumsJFM 46.0260.01


Mathematics Subject Classification ID

Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Lattice points in specified regions (11P21)


Related Items (1)

Average decay of Fourier transforms and integer points in polyhedra



Cites Work

  • Unnamed Item
  • Number of lattice points in families of homothetic domains in \(R^ n\)
  • On the Number of Lattice Points in Planar Domains
  • An Arithmetic Property of Riemann Sums
  • On the Fourier Transform of the Indicator Function of a Planar Set
  • ON THE NUMBER OF LATTICE POINTS INSIDE A RANDOM OVAL
  • Sur un théorème de M. V. Jarník


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