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

 

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Opened Access Uniform convergence of basic Fourier-Bessel series on a q-linear grid
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Author: Abreu, Luis Daniel
Álvarez Nodarse, Renato
Dos Santos Cardoso, José Luis
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2018-09
Published in: The Ramanujan Journal, 1-29.
Document type: Article
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.
Size: 583.5Kb
Format: PDF

URI: https://hdl.handle.net/11441/79918

DOI: 10.1007/s11139-018-0070-3

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