منابع مشابه
On Strong Uniform Distribution Iv
Let a= (ai)i=1 be a strictly increasing sequence of natural numbers and let be a space of Lebesgue measurable functions defined on [0,1). Let {y} denote the fractional part of the real number y. We say that a is an ∗ sequence if for each f ∈ we set AN ( f ,x) = (1/N) ∑N i=1 f ({aix}) (N = 1,2, . . .), then limN→∞AN ( f ,x) = ∫ 1 0 f (t)dt, almost everywhere with respect to Lebesgue measure. Let...
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ژورنال
عنوان ژورنال: Tatra Mountains Mathematical Publications
سال: 2014
ISSN: 1210-3195
DOI: 10.2478/tmmp-2014-0018