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Titlebook: I. J. Schoenberg Selected Papers; Carl Boor Book 1988 Springer Science+Business Media New York 1988 Finite.Mathematica.algebra.approximati

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On Smoothing Operations and their Generating Functionsransformation.where the sequence .. and the function Δ(.) are thought of as given. In §2 we also consider the ordinary linear transformation.The loosely connected topics to be discussed concerning these transformations are perhaps best brought together under the general subject of smoothing operations.
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Spline Functions and the Problem of Graduationa. The well-known method of graduation due to E. T. Whittaker suggests how this should be done. Here we merely describe the idea and the qualitative aspects of the new method, while proofs and the computational side will be discussed elsewhere.
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On Variation Diminishing Spline Approximation Methodsr, we divide [0, .] into . equal parts and denote by ..(.) the continuous function which is linear in each subinterval ((. − 1)/., ./il) while interpolating .(.) at its end points. Denoting by ..(.) the broken linear functions such that.we may represent the approximation in the form
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https://doi.org/10.1007/978-1-4899-0433-1Finite; Mathematica; algebra; approximation; approximation theory; boundary element method; calculus; deriv
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Contemporary Mathematicianshttp://image.papertrans.cn/i/image/460037.jpg
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978-1-4899-0435-5Springer Science+Business Media New York 1988
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0884-7037 Overview: 978-1-4899-0435-5978-1-4899-0433-1Series ISSN 0884-7037
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