Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика (Nov 2020)

On the Uniform Convergence of the Fourier Series by the System of Polynomials Generated by the System of Laguerre Polynomials

  • Gadzhimirzaev, Ramis Makhmudovich

DOI
https://doi.org/10.18500/1816-9791-2020-20-4-416-423
Journal volume & issue
Vol. 20, no. 4
pp. 416 – 423

Abstract

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Let w(x) be the Laguerre weight function, 1 /le p 2 and does not occur for 1 /le p 2. The divergence of the Fourier series by the example of the function ecx using the asymptotic behavior of the Laguerre polynomials is established.

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