Generalized translation operator and approximation in several variables

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dc.creatorXu, Yuan
dc.date2004-01-29
dc.date.accessioned2026-07-07T05:04:57Z
dc.date.available2026-07-07T05:04:57Z
dc.descriptionGeneralized translation operators for orthogonal expansions with respect to families of weight functions on the unit ball and on the standard simplex are studied. They are used to define convolution structures and modulus of smoothness for these regions, which are in turn used to characterize the best approximation by polynomials in the weighted $L^p$ spaces. In one variable, this becomes the generalized translation operator for the Gegenbauer polynomial expansions.
dc.description22 pages, 7th International Symposium on Orthogonal Polynomials and Special Functions, Copenhagen, August 2003
dc.identifierhttps://arxiv.org/abs/math/0401417
dc.identifierhttp://arxiv.org/abs/math/0401417
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70006
dc.subjectClassical Analysis and ODEs
dc.titleGeneralized translation operator and approximation in several variables
dc.typetext

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