On the mean convergence of Fourier–Jacobi series

The convergence of Fourier–Jacobi series in the spaces $L_{p,A,B}$ is studied in the case where the Lebesgue constants are unbounded.

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Bibliographic Details
Date:2010
Main Authors: Goncharov, S. V., Motornyi, V. P., Nitiema, P. K., Гончаров, С. В., Моторный, В. П., Нитиема, П. К.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2010
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2912
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal