Titlebook: Hausdorff Approximations; B. Sendov,Gerald Beer Book 1990 Bl. Sendov 1990 Approximation.Derivative.Fourier series.analog.entropy.numerical

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Mathematics and its Applicationshttp://image.papertrans.cn/h/image/424469.jpg

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0169-507X Overview: 978-94-010-6787-4978-94-009-0673-0Series ISSN 0169-507X

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https://doi.org/10.1007/978-94-009-0673-0Approximation; Derivative; Fourier series; analog; entropy; numerical methods

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Hausdorff Distance,Let (M,ρ) be a metric space, i.e., to every pair a, b ∈ M there corresponds a nonnegative number ,ρ(a, b) such that for all a, b, c ∈ M ., ., ..

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Best Hausdorff Approximations,In this chapter we shall consider the problem for the best approximation of segment functions with regard to the Hausdorff distance. We shall confine ourselves to the consideration of functions defined on a finite or infinite interval.

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Elements of Segment Analysis,l type of real multivalued functions with closed and bounded convex images, i.e., each image is a closed interval (segment) in the extended real line. Functions that take segment values will be called ..

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Converse Theorems,oncerned with the existence of a function with preassigned approximations. In others, the rate of approximation is prescribed, from which one derives certain properties of the approximated function, e. g., membership to a given class of functions.