On fundamental and interpolating Spline functions[MatSciRep: 82]

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On fundamental and interpolating Spline functions[MatSciRep: 82]

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dc.contributor.author Vimala, Walter
dc.date.accessioned 2012-05-29T11:39:28Z
dc.date.available 2012-05-29T11:39:28Z
dc.date.issued 2012-05-29T11:39:28Z
dc.date.submitted 1974
dc.identifier.uri http://hdl.handle.net/123456789/282
dc.description.abstract This report is the outcome of a series of lectures given at Matscience, Since the lntroduction of SpLine functions in 1946 by L.J.Schoenberg, many new and significant results have been unearthed, of which not a few can be traced, to Schoenberg himself. Consequently, it was felt that a systematic study of the contributions of I.J.Schoenberg to the theory of splines would be beneficial to the students of mathematics. This report contains results from two of his earliest papers on 1) On Polya Frequency Functions III: The Positivity of Translation Determinants with an Application to the Interpolation Problem by Spline Curves and 2) On Polya Frequency functions IV: The Fundamental Spline Functions and their Limits. The later papers are discussed in the subsequent reports. en_US
dc.subject SPLine Functions en_US
dc.subject Matscience Report 82 en_US
dc.title On fundamental and interpolating Spline functions[MatSciRep: 82] en_US
dc.type.institution Institute of Mathematical Sciences en_US
dc.description.pages 69p. en_US
dc.type.mainsub Mathematics en_US

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