Uniform convergence of Fourier-Bessel series on a q-linear grid
Classical Analysis and ODEs
2017-10-25 v1
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.
Keywords
Cite
@article{arxiv.1710.08823,
title = {Uniform convergence of Fourier-Bessel series on a q-linear grid},
author = {L. D. Abreu and R. Álvarez-Nodarse and J. L. Cardoso},
journal= {arXiv preprint arXiv:1710.08823},
year = {2017}
}
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23 pages