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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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On the Convergence of Cubic Interpolating Splineseded to guarantee that the sequence of spline interpolants ‹P.f› converges uniformly to f as n → ∞? The study of this question was stimulated by the discovery by Nord [9] of an example of a sequence ‹Δ.› satisfying (1.1) and a function f ∈ C̊[0,1] such that ‖f - P.f‖ ↛ 0 as n → ∞.
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R. DeVore,F. Richardst where the function has lower or equal value. It ignores completely all feasible sets where the function attains a higher value..Numerical results are presented for 6 examples, for the tunnelling algorithm and a multiple random method. These results show that the method presented here is a . method
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