Orthogonal polynomials of discrete variable and boundedness of Dirichlet kernel

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dc.creatorObermaier, Josef
dc.creatorSzwarc, Ryszard
dc.date2005-09-11
dc.date2005-10-23
dc.date.accessioned2026-07-07T06:43:00Z
dc.date.available2026-07-07T06:43:00Z
dc.descriptionFor orthogonal polynomials defined by compact Jacobi matrix with exponential decay of the coefficients, precise properties of orthogonality measure is determined. This allows showing uniform boundedness of partial sums of orthogonal expansions with respect to $L^\infty$ norm, which generalize analogous results obtained for little $q$-Legendre, little $q$-Jacobi and little $q$-Laguerre polynomials, by the authors.
dc.identifierhttps://arxiv.org/abs/math/0509241
dc.identifierhttp://arxiv.org/abs/math/0509241
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102255
dc.subjectFunctional Analysis
dc.subject42C15
dc.titleOrthogonal polynomials of discrete variable and boundedness of Dirichlet kernel
dc.typetext

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