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- W66510970 abstract "This chapter describes the least square polynomial spline approximation techniques based on the classical theory of orthogonal projection in abstract Hilbert space. The chapter focuses on the approximation of elements of the real Hilbert space L 2 [a,b] by members of finite dimensional subspaces of polynomial splines. The results discussed in the chapter can be used to examine the consistency of the orders of accuracy of errors induced by the use of the quadrature rules with the order of accuracy of the least square error itself. The chapter presents plots of cubic spline approximations to data sets considered difficult to approximate using polynomials because of the “roly-poly” nature of such approximants. The chapter reviews Filon type quadrature based on piecewise linear interpolation with remarkable success." @default.
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- W66510970 date "1972-01-01" @default.
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- W66510970 title "LEAST SQUARE POLYNOMIAL SPLINE APPROXIMATION" @default.
- W66510970 doi "https://doi.org/10.1016/b978-0-12-068650-6.50039-3" @default.
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