Zmk ( 29 ) 12 2013 , S . 830 – 836
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A Note on the Fourier Coefficients and Partial Sums of Vilenkin-fourier Series
The aim of this paper is to investigate Paley type and HardyLittlewood type inequalities and strong convergence theorem of partial sums of Vilenkin-Fourier series. Let N+ denote the set of the positive integers, N := N+ ∪ {0}. Let m := (m0,m1, . . .) denote a sequence of the positive numbers, not less than 2. Denote by Zmk := {0, 1, . . . ,mk − 1} the additive group of integers modulomk. Define...
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تاریخ انتشار 2013