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

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Detalhes bibliográficos
Resumo: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
Autores principais:Abreu, L. D.
Outros Autores:Álvarez-Nodarse, R.; Cardoso, J. L.
Assunto:Hahn–Exton q-Bessel function · Third Jackson q-Bessel function · q-Fourier series · Basic Fourier expansions · Uniform convergence · q-Linear grid
Ano:2019
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade de Trás-os-Montes e Alto Douro
Idioma:inglês
Origem:Repositório da UTAD
Descrição
Resumo: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