• Admin
    UC Research Repository
    View Item 
       
    • UC Home
    • Library
    • UC Research Repository
    • College of Engineering
    • Engineering: Reports
    • View Item
       
    • UC Home
    • Library
    • UC Research Repository
    • College of Engineering
    • Engineering: Reports
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of the RepositoryCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    Statistics

    View Usage Statistics

    Constructive approximation theory

    Thumbnail
    View/Open
    hendtlass_2007_report.pdf (537.7Kb)
    Author
    Hendtlass, Matthew
    Date
    2007
    Permanent Link
    http://hdl.handle.net/10092/10108
    Degree Grantor
    University of Canterbury
    Degree Name
    Bachelor of Science with Honours

    We consider the fundamental Theorem of Approximation Theory from a constructive viewpoint, revealing that the theorem itself is fundamentally non-constructive. We subsequently present a development of a constructive alternative to the Fundamental Theorem, under the hypothesis that there is at most one best approximation in our linear space. Basic applications of this theorem are discussed and brief mention made regarding alternative additions to the hypothesis of the Fundamental Theorem.

    Subjects
    Field of Research::01 - Mathematical Sciences::0101 - Pure Mathematics::010101 - Algebra and Number Theory
    Collections
    • Engineering: Reports [684]
    Rights
    http://library.canterbury.ac.nz/thesis/etheses_copyright.shtml

    UC Research Repository
    University Library
    University of Canterbury
    Private Bag 4800
    Christchurch 8140

    Phone
    364 2987 ext 8718

    Email
    ucresearchrepository@canterbury.ac.nz

    Follow us
    FacebookTwitterYoutube

    © University of Canterbury Library
    Send Feedback | Contact Us