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dc.contributor.authorWiener, Marvinen_US
dc.date.accessioned2017-12-06T16:11:38Z
dc.date.available2017-12-06T16:11:38Z
dc.date.issued1962
dc.date.submitted1962
dc.identifier.otherb14564026
dc.identifier.urihttps://hdl.handle.net/2144/25856
dc.descriptionThesis (M.A.)--Boston Universityen_US
dc.description.abstractThis paper, utilizing the properties of Vector spaces, describes an approach to polynomial approximations of functions defined analytically or by a set of observations over some interval. If the function and its approximation are both considered tobe elements of a linear normed vector space, a weighted sum or integral of the square of the discrepancy between the function and its approximation is to be a minimum. When this condition is satisfied, and depending upon the interval of interest, the polynomial approximation to the function becomes either the Legendre, Chebyshev, Laguerre, or hermite approximation formulas. An investigation into the properties and applications of these formulas is included, and it is shown that these formulas give the best polynomial approximations to certain functions in the sense of least squares.en_US
dc.language.isoen_US
dc.publisherBoston Universityen_US
dc.rightsBased on investigation of the BU Libraries' staff, this work is free of known copyright restrictions.en_US
dc.subjectLeast suaresen_US
dc.subjectLinear algebraen_US
dc.titleLeast squares approximationsen_US
dc.typeThesis/Dissertationen_US
etd.degree.nameMaster of Artsen_US
etd.degree.levelmastersen_US
etd.degree.disciplineMathematicsen_US
etd.degree.grantorBoston Universityen_US


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