2017
Том 69
№ 6

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On the mean convergence of Fourier–Jacobi series

Goncharov S. V., Motornyi V. P., Nitiema P. K.

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Abstract

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

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 6, pp 943-960.

Citation Example: Goncharov S. V., Motornyi V. P., Nitiema P. K. On the mean convergence of Fourier–Jacobi series // Ukr. Mat. Zh. - 2010. - 62, № 6. - pp. 814–828.

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