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Pointwise approximation by de la Vallée-Poussin means. (English) Zbl 1217.42013
Summary: We show the approximation version of the Tanović-Miller generalization of the Fejér-Lebesgue theorem [Boll. Unione Mat. Ital., VI. Ser., B 1, 1217–1233 (1982; Zbl 0503.42006)]. As a corollary we obtain the result of S. Aljanĉić, R. Bojanic and M. Tomić [Enseign. Math., II. Sér. 15, 21–28 (1969; Zbl 0176.35601)]. The norm approximation is also considered.

MSC:
42A24 Summability and absolute summability of Fourier and trigonometric series
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