(Springer, 2018-09) Abreu, Luis Daniel; Álvarez Nodarse, Renato; Santos Cardoso, José Luis dos; Universidad de Sevilla. Departamento de Análisis Matemático; Universidad de Sevilla. FQM262: Teoría de la Aproximación
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.
