Convergence and summability in the mean of random fourier-stieltjes series
نویسندگان
چکیده
منابع مشابه
Summability of a Class of Fourier-stieltjes Series
If 0 « (t)-)-s then, for any /3 > oc, Op (t)->-s. It is sufficient to assume that s = 0. By (3), since F(t) is increasing, op(t) <-a q « (t) and the required result follows immediately. t LEMMA 6. Let y(t) be an increasing function. If g(t) =10 y(u) du-sta as t-*0, then y(t)~sct a-1 The proof is similar to that of a result due to Hardy and Littlewood*, to which the lemma reduces when y(t) is a ...
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ژورنال
عنوان ژورنال: Kodai Mathematical Journal
سال: 2009
ISSN: 0386-5991
DOI: 10.2996/kmj/1245982905