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2013/83/3 (14) — DOI: 10.5486/PMD.2013.5592 — pp. 465-480

Characterization of the convergence of weighted averages of double sequences of numbers and functions in two variables

Authors: Ferenc Móricz and Ulrich Stadtmüller

Abstract:

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Keywords: convergence in Pringsheim's sense, arithmetic-, harmonic- (also called logarithmic-) weighted averages, moving rectangular averages, moving maximal rectangular averages, strong laws for random fields

Mathematics Subject Classification: 40B99, 40C05, 40C10, 26D15, 60F15, 60G60