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- W3145202451 abstract "This paper gives a review of univariate splines and B-splines, with special emphasis on total positivity. In particular , we show that the B-spline basis is totally positive, and we give a proof of the Schoenberg Whitney theorem by first establishing the result for the so-called truncated power basis. One consequence of total positivity is the existence of the Chebyshev spline which is a generalization of the Chebyshev polynomial. This spline has many nice properties , and we study some of these at the end of th e paper." @default.
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- W3145202451 title "Total Positivity and Splines" @default.
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