On the growth order of partial sums of non-orthogonal series

DOI10.1007/BF01919466zbMath0507.40001OpenAlexW2318027045MaRDI QIDQ1837350

V. F. Gaposhkin

Publication date: 1980

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01919466

zbMATH Keywords

convergence ratealmost everywhere growth order

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05)

Related Items (4)

A generalization of the Men'shov-Rademacher theorem ⋮ On the growth order of the rectangular partial sums of multiple non- orthogonal series ⋮ The growth of sums of indicators of events ⋮ The Kronecker lemmas for multiple series and some applications

Cites Work

• Maximal inequalities for not necessarily orthogonal random variables and some applications
• Convergence Properties of $S_n$ Under Moment Restrictions
• Moment inequalities and the strong laws of large numbers
• The strong laws of large numbers for quasi-stationary sequences
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