Gauss-type formulas for linear functionals

dc.contributor	Mathematics
dc.creator	Chen, Jih-Hsiang
dc.date	2017-01-30T21:25:15Z
dc.date	2017-01-30T21:25:15Z
dc.date	1982
dc.date.accessioned	2023-03-01T08:09:40Z
dc.date.available	2023-03-01T08:09:40Z
dc.identifier	http://hdl.handle.net/10919/74845
dc.identifier.uri	http://localhost:8080/xmlui/handle/CUHPOERS/276506
dc.description	We give a method, by solving a nonlinear system of equations, for Gauss harmonic interpolation formulas which are useful for approximating, the solution of the Dirichlet problem. We also discuss approximations for integrals of the form I(f) = (1/2πi) ∫<sub>L</sub> (f(z)/(z-α)) dz. Our approximations shall be of the form Q(f) = Σ<sub>k=1</sub><sup>n</sup> A<sub>k</sub>f(τ<sub>k</sub>). We characterize the nodes τ₁, τ₂, …, τ<sub>n</sub>, to get the maximum precision for our formulas. Finally, we propose a general problem of approximating for linear functionals; our results need further development.
dc.description	Ph. D.
dc.format	iv, 61, [1] leaves
dc.format	application/pdf
dc.format	application/pdf
dc.language	en_US
dc.publisher	Virginia Polytechnic Institute and State University
dc.relation	OCLC# 9185708
dc.rights	In Copyright
dc.rights	http://rightsstatements.org/vocab/InC/1.0/
dc.subject	LD5655.V856 1982.C546
dc.subject	Harmonic functions
dc.subject	Approximation theory
dc.title	Gauss-type formulas for linear functionals
dc.type	Dissertation
dc.type	Text

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