Pointwise Convergence of Jacobi Polynomials

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.advisor Hanke, Michael
dc.contributor.author Kruglov, Ekaterina
dc.date.accessioned 2018-06-01T11:37:06Z
dc.date.available 2018-06-01T11:37:06Z
dc.date.issued 2018-05-08
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/31572
dc.description.abstract The goal of this thesis is to numerically study a pointwise Jacobi convergence theorem for piecewise analytic functions based on the theorem on Legendre error. The convergence rates were examined on the boundary, singularity, and interior points. Results revealed that pointwise error convergence rates depend on the point of singularity, Jacobi polynomial coefficients α and β, and, lastly, on type of the piecewise analytic function. en
dc.format.extent 48
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.title Pointwise Convergence of Jacobi Polynomials en
dc.type G2 Pro gradu, diplomityö fi
dc.contributor.school Perustieteiden korkeakoulu fi
dc.subject.keyword Jacobi polynomials en
dc.subject.keyword pointwise convergence en
dc.subject.keyword orthogonal polynomials en
dc.subject.keyword Gibbs phenomenon en
dc.subject.keyword approximation theory en
dc.identifier.urn URN:NBN:fi:aalto-201806012999
dc.programme.major Applied Mathematics fi
dc.programme.mcode SCI3053 fi
dc.type.ontasot Master's thesis en
dc.type.ontasot Diplomityö fi
dc.contributor.supervisor Hakula, Harri
dc.programme Master’s Programme in Applied and Engineering Mathematics (N5TeAM) fi
local.aalto.electroniconly yes
local.aalto.openaccess yes

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