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- W423304504 abstract "We consider the problem of approximating a function f of the radial distance r in ℝd on 0 ≤ r < ∞ by a spline function of degree m and defect k, with n (variable) knots, matching as many of the initial moments of f as possible. We analyse the case when the defect k is an odd integer, especially when k = 3. We show that, if the approximation exists, it can be represented in terms of generalized Turán quadrature relative to a measure depending on f. The knots of the spline are the zeros of the corresponding s-orthogonal polynomials (s ≥ 1). Numerical example is included." @default.
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- W423304504 date "1988-01-01" @default.
- W423304504 modified "2023-09-26" @default.
- W423304504 title "Moment-Preserving Spline Approximation and Turán Quadratures" @default.
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- W423304504 doi "https://doi.org/10.1007/978-3-0348-6303-2_29" @default.
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