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WROCŁAW UNIVERSITY
OF SCIENCE AND
TECHNOLOGY

Contents of PMS, Vol. 16, Fasc. 1,
pages 127 - 130
 

ON THE STEIN PROPERTY OF RADEMACHER SEQUENCES

Krzysztof Oleszkiewicz

Abstract: We prove that for a Rademacher sequence (r)
  i and any sequence of real numbers (a )
  i the inequality

  (  n          -n---)
P   | sum   airi|>  V~   sum  a2 > 1-
    i=1         i=1  i    10
holds true.

2000 AMS Mathematics Subject Classification: Primary: -; Secondary: -;

Key words and phrases: -

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