No. 7] 5d~ 10. on Lacunary Trigonometric Series
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چکیده
x (1.2) lim I {t; t e E, SN(t) < xAN} / I E _ (2~r)-1/2 exp( u2/2)du. *' Recently, it is proved that the lacunarity condition (1.1) can be relaxed in some cases (c.f. [1] and [4]). But in [1] it is pointed out that to every constant c>0, there exists a sequence {nk} for which nk+l > nk(1 + ck--1(2) but (1.2) is not true for ak =1 and E_ [0, 11. The purpose of the present note is to prove the following
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تاریخ انتشار 2006