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A characterization of the existence of statistical limit of real-valued measurable functions

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Publication:879238
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DOI10.1007/s10474-006-0528-4zbMath1121.40003OpenAlexW2013012774MaRDI QIDQ879238

Árpád Fekete, Ferenc Móricz

Publication date: 8 May 2007

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-006-0528-4


zbMATH Keywords

statistical convergencestatistical boundednessconvergence in Pringsheim's sensestatistical limit at \(\infty\)multiple sequencelimit in Pringsheim's sense at \(\infty\)measurable function in one- and several variablesSchoenberg's characterization theorem


Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Fourier series and coefficients in several variables (42B05)


Related Items

Hardy-type Tauberian conditions on time scales



Cites Work

  • Statistical convergence of multiple sequences
  • The Integrability of Certain Functions and Related Summability Methods
  • ON STATISTICAL CONVERGENCE
  • Sur la convergence statistique
  • Unnamed Item
  • Unnamed Item
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