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- W857221832 abstract "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: 42A16, 42A20." @default.
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- W857221832 date "2009-12-09" @default.
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- W857221832 title "On the convergence (upper boundness) of trigonometric series" @default.
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