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Interactive spline approximationMerchant, Marian January 1974 (has links)
The use of spline basis functions in solving least squares approximation problems is investigated. The question as to which are appropriate basis functions to use is discussed along with the reasons why the final choice was made. The Householder transformation method for solving the fixed knot spline approximation problem is examined. Descriptions of both an automatic procedure using function minimization and an interactive procedure using a graphics terminal for solving the variable knot spline approximation problem are given. In conclusion, numerical results using the interactive system are presented and analyzed. / Science, Faculty of / Computer Science, Department of / Graduate
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Weighted approximation for Erdos weightDamelin, Steven Benjamin January 1995 (has links)
A thesis submitted to the Faculty of science, University of Witwatersrand, Johannesburg in fulfilment of the requirements of the degree of Doctor of Philosophy.
Johannesburg 1995. / We investigate Mean Convergence of Lagrange Interpolation and Rates of Approximation
for Erdo's Weights on the Real line. An Erdos Weight is of the form, W = exp[-Q], where typically Q is even, continous and is of faster than polynomial growth at infinity.
Concerning Lagrange Interpolation, we first investigate the problem of formulating and proving the correct Jackson Theorems for Erdos Weights. [ Abbreviated abstract : Open document to view full version] / GR2017
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De Montessus de Ballore theorem for Pade approximation.Chou, Pʻing January 1994 (has links)
A research report submitted to the Faculty of Science, University of the Witwatersrand,
Johannesburg, in partial fulfilment of the degree of Master of Science / The importance of Pade approximation has been increasingly recognized in '
recent years. The first convergence result of Pade approximants valid for general
meromorphic functions was obtained by de Montessus de Ballore in 1902. He
proved that when a function f has precisely n poles in I z 1< R, then the (n+ 1)th
column in thePade table of f converges to f in I z J< R. (Abbreviation abstract) / Andrew Chakane 2019
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Weighted polynomial approximation on the whole real line and related topics /Mhaskar, Hrushikesh Narhar January 1980 (has links)
No description available.
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Some results in approximation theory /Shan, Chin-Chi January 1982 (has links)
No description available.
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Upper bound for the degree of an approximating monomial /Ali, Sayel Ali Ahmad January 1987 (has links)
No description available.
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Constructive approaches to approximate solutions of operator equations and convex programmingWolkowicz, Henry. January 1978 (has links)
Note:
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Approximation theorems in ergodic theoryPrasad, Vidhu S. January 1973 (has links)
No description available.
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Some asymptotic approximation theorems in real and complex analysis廖明哲, Liu, Ming-chit. January 1973 (has links)
published_or_final_version / Mathematics / Doctoral / Doctor of Philosophy
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Some asymptotic approximation theorems in real and complex analysis.Liu, Ming-chit. January 1973 (has links)
Thesis--Ph. D., University of Hong Kong. / Mimeographed.
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