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arXiv · 1710.08823

Uniform convergence of Fourier-Bessel series on a q-linear grid

L. D. Abreu·R. Álvarez-Nodarse·J. L. Cardoso
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Abstract

We study Fourier-Bessel series on a q-linear grid, defined as expansions in complete q-orthogonal systems constructed with the third Jackson q-Bessel function, and obtain sufficient conditions for uniform convergence. The convergence results are illustrated with specific examples of expansions in q-Fourier-Bessel series.

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L. D. Abreu, R. Álvarez-Nodarse, J. L. Cardoso. 2017-10-19. Uniform convergence of Fourier-Bessel series on a q-linear grid. https://arxiv.org/abs/1710.08823

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