Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

The extensions of the Ferenc Móricz theorems

Author(s): S. S. Bhatia; Babu Ram
Journal: Proc. Amer. Math. Soc. 124 (1996), 1821-1829.
MSC (1991): Primary 42A16, 42A20
MathSciNet review: 1307497
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Abstract: We study the integrability of the $r$ times differentiated complex trigonometric series using modified trigonometric sums and obtain a new necessary and sufficient condition for $L^1$ -convergence of the $r$ th derivative of the Fourier series. Some results of F. Móricz are deduced as corollaries.

References:

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3.: F. Móricz, On integrability and -convergence of complex trigonometric series, Proc. Amer. Math. Soc. 113 (1991), 53--64. MR 91k:42002
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