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On the Convergence of Conjugate Trigonometric Polynomials

Published/Copyright: March 10, 2010
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Georgian Mathematical Journal
From the journal Volume 13 Issue 3

Abstract

Sufficient conditions are found, under which for 𝑓 ∈ 𝐶([–π, π]) or 𝑓 ∈ 𝐿([–π, π]) the convergence of a sequence of trigonometric polynomials in the norms of these spaces implies the convergence of their conjugates in the same norms.

Received: 2006-02-10
Revised: 2006-05-15
Published Online: 2010-03-10
Published in Print: 2006-September

© Heldermann Verlag

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