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Titlebook: Spline Functions and Approximation Theory; Proceedings of the S A. Meir,A. Sharma Conference proceedings 1973 Springer Basel AG 1973 Approx

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楼主: 乳钵
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978-3-0348-5980-6Springer Basel AG 1973
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Spline Functions and Approximation Theory978-3-0348-5979-0Series ISSN 0373-3149 Series E-ISSN 2296-6072
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0373-3149 Overview: 978-3-0348-5980-6978-3-0348-5979-0Series ISSN 0373-3149 Series E-ISSN 2296-6072
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Pointwise SaturationThe phenomenon of saturation which is associated with many approximation processes can be considered as a form of a differentiation process, and the questions asked about saturation are analogues of questions asked about differentiation.
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Good Approximation by Splines with Variable KnotsConsider approximation of a given function f, on [0,1] say, by elements of S., i.e., by . k (or, degree < k) ...
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On Some Conjectures of Askey Concerning Completely Monotonic FunctionsIn [1], Richard Askey analysed the L. convergence of the Lagrange interpolation polynomials when the zeros of the classical Jacobi polynomials, P. (z), are used as the points of interpolation. His analysis was complete, except for some results concerning the positivity of the Cesaro means of some order γ, (C, γ), for the Poisson Kernel, ..
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On the Construction of Multidimensional SplinesSmoothing polynomial splines have been introduced by I.J. Schoenberg [17]. Generalizations of this notion have been given for example by M. Atteia [2], [3], G.M. Nielson [15].
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On Error Estimates a Posteriori in Iterative Procedures1939, in a note in the C.R. of the Paris Academy, ., 777–779, I introduced the concepts of the computation errors . and ., the first being estimated before the beginning of the essential computation and the second being deduced after several steps of the computation have been completed.
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