Abstract
The process of constructing a function which takes on given data values at given data points is called interpolation. In a certain sense, interpolation is a special case of discrete approximation, but the subject deserves a separate and detailed treatment. The results of the theory of interpolation are a basic part of the constructive theory of functions, and moreover, provide the basis for a wide variety of methods for numerical integration, numerical treatment of differential equations, and the discretization of general operator equations.
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© 1991 Springer-Verlag New York Inc.
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Hämmerlin, G., Hoffman, KH. (1991). Interpolation. In: Numerical Mathematics. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4442-4_5
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DOI: https://doi.org/10.1007/978-1-4612-4442-4_5
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-97494-1
Online ISBN: 978-1-4612-4442-4
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