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Core theorems for double subsequences and rearrangements

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Publication:949821
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DOI10.1007/s10474-007-7005-6zbMath1212.42021OpenAlexW1991239231MaRDI QIDQ949821

Richard F. Patterson, Harry I. Miller

Publication date: 21 October 2008

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

Full work available at URL: https://doi.org/10.1007/s10474-007-7005-6


zbMATH Keywords

rearrangementsdouble subsequenceP-convergencePringsheim core


Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Matrix methods for summability (40C05)


Related Items (1)

Two valued measure and summability of double sequences in asymmetric context



Cites Work

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  • \(\lambda \)-rearrangements characterization of Pringsheim limit points
  • Summability of rearrangements of sequences
  • Double sequence core theorems
  • Analogues of some fundamental theorems of summability theory
  • Almost convergence of double sequences and strong regularity of summability matrices
  • Statistical limit superior and limit inferior
  • CHARACTERIZATION FOR THE LIMIT POINTS OF STRETCHED DOUBLE SEQUENCES
  • SUMMABILITY OF λ-REARRANGEMENTS FOR DOUBLE SEQUENCES
  • A note on subsequences
  • Summability of subsequences


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