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  • 1 Bolyai Institute, University of Szeged, H-6720 Szeged, Aradi vértanúk tere 1., Hungary
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Abstract

We study the uniform convergence of sine integrals of measurable functions on the open half-line. We also extend results of F. Móricz and give examples for appropriate functions.

  • [1] Kórus, P. 2010 Remarks on the uniform and L 1-convergence of trigonometric series Acta Math. Hungar. 128 369380 .

  • [2] Móricz, F. 2009 On the uniform convergence of sine integrals J. Math. Anal. Appl. 354 213219 .

  • [3] Zhou, S. P., Zhou, P. and Yu, D. S., Ultimate generalization to monotonicity for uniform convergence of trigonometric series, http://arxiv.org/abs/math/0611805v1.

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