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- W2020363266 abstract "The approximation properties of polynomial splines in a convex set are studied. For splines of first degree, error estimates are obtained for approximating a function in a uniform metric, and its first derivative in the norm of space L2[a, b], and in the case of splines of the third degree, a function and its first derivative in a uniform norm, and its second derivative, in the norm of L2[a,b]. It follows from the form of the estimates that the operation of numerical differentiation by means of splines in a convex set is well-posed in the sense of stability under peturbations of the input data." @default.
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- W2020363266 date "1987-01-01" @default.
- W2020363266 modified "2023-09-26" @default.
- W2020363266 title "Splines in a convex set, and the problem of numerical differentiation" @default.
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- W2020363266 doi "https://doi.org/10.1016/0041-5553(87)90178-9" @default.
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