On a necessary condition for $L^p$ $(0 < p < 1)$-convergence (upper boundedness) of trigonometric series
نویسندگان
چکیده
منابع مشابه
On the convergence (upper boundness) of trigonometric series
In this paper we prove that the condition 2n ∑ k=[ 2 ] kλk |n− k|+ 1 = o(1) (= O(1)) , for r = 0, 1, 2, . . . , is necessary for the convergence of the r − th derivative of the Fourier series in the L−metric. This condition is sufficient under some additional assumptions for Fourier coefficients. In fact, in this paper we generalize some results of A. S. Belov [1]. AMS subject classifications: ...
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ژورنال
عنوان ژورنال: Carpathian Mathematical Publications
سال: 2015
ISSN: 2313-0210,2075-9827
DOI: 10.15330/cmp.7.1.83-90