Georgian Mathematical Journal 13 (2006), No. 3, 463--472
Copyright Heldermann Verlag 2006
On the Convergence of Conjugate Trigonometric Polynomials
Larry Gogoladze
Faculty of Exact and Natural Sciences, I. Javakhishvili University, 2 University Street, Tbilisi 0143, Georgia
[Abstract-pdf]
Sufficient conditions are found under which for $f\in C([-\pi,\pi])$ or $f\in L([-\pi,\pi])$ the convergence of a sequence of trigonometric polynomials in the norms of these spaces implies the convergence of their conjugates in the same norms.
Keywords: Conjugate functions, de la Vallee-Poussin means, best approximation.
MSC: 42A50
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