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Uniqueness of best L₂[0,1] approximation by piecewise polynomials with variable breakpoints
dc.contributor.advisor | Chui, C. K. | |
dc.contributor.advisor | Smith, P. W. | |
dc.creator | Chow, Jeff | |
dc.date.accessioned | 2020-08-21T22:17:34Z | |
dc.date.available | 2020-08-21T22:17:34Z | |
dc.date.issued | 1978 | |
dc.identifier.uri | https://hdl.handle.net/1969.1/DISSERTATIONS-776874 | |
dc.description | Vita. | en |
dc.description.abstract | A sufficient condition for the uniqueness of best L₂ [0,1] approximation by piecewise polynomials of order k with variable breakpoints is generalized from that of order 2. Other generalizations included in this dissertation are nonuniqueness and eventual uniqueness results. | en |
dc.format.extent | viii, 49 leaves | en |
dc.format.medium | electronic | en |
dc.format.mimetype | application/pdf | |
dc.language.iso | eng | |
dc.rights | This thesis was part of a retrospective digitization project authorized by the Texas A&M University Libraries. Copyright remains vested with the author(s). It is the user's responsibility to secure permission from the copyright holder(s) for re-use of the work beyond the provision of Fair Use. | en |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | Approximation theory | en |
dc.subject | Convex functions | en |
dc.subject | Manifolds (Mathematics) | en |
dc.subject | Piecewise linear topology | en |
dc.subject | Polynomials | en |
dc.subject | Mathematics | en |
dc.subject.classification | 1978 Dissertation C552 | |
dc.subject.lcsh | Approximation theory | en |
dc.subject.lcsh | Polynomials | en |
dc.subject.lcsh | Manifolds (Mathematics) | en |
dc.subject.lcsh | Convex functions | en |
dc.subject.lcsh | Piecewise linear topology | en |
dc.title | Uniqueness of best L₂[0,1] approximation by piecewise polynomials with variable breakpoints | en |
dc.type | Thesis | en |
thesis.degree.grantor | Texas A&M University | en |
thesis.degree.name | Doctor of Philosophy | en |
dc.contributor.committeeMember | Aberth, O. G. | |
dc.contributor.committeeMember | Lou, Y. K. | |
dc.type.genre | dissertations | en |
dc.type.material | text | en |
dc.format.digitalOrigin | reformatted digital | en |
dc.publisher.digital | Texas A&M University. Libraries | |
dc.identifier.oclc | 4847229 |
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