Interpolation and Approximation

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In this paper, there are three chapters. The first chapter discusses interpolation. Here a theorem about the uniqueness of the solution to the general interpolation problem is proven. Then the problem of how to represent this unique solution is discussed. Finally, the error involved in the interpolation and the convergence of the interpolation process is developed. In the second chapter a theorem about the uniform approximation to continuous functions is proven. Then the best approximation and the least squares approximation (a special case of best approximation) is discussed. In the third chapter orthogonal polynomials as discussed as well as bounded ... continued below

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iii, 53 leaves

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Lal, Ram May 1977.

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This thesis is part of the collection entitled: UNT Theses and Dissertations and was provided by UNT Libraries to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 40 times . More information about this thesis can be viewed below.

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  • Lal, Ram

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Description

In this paper, there are three chapters. The first chapter discusses interpolation. Here a theorem about the uniqueness of the solution to the general interpolation problem is proven. Then the problem of how to represent this unique solution is discussed. Finally, the error involved in the interpolation and the convergence of the interpolation process is developed. In the second chapter a theorem about the uniform approximation to continuous functions is proven. Then the best approximation and the least squares approximation (a special case of best approximation) is discussed. In the third chapter orthogonal polynomials as discussed as well as bounded linear functionals in Hilbert spaces, interpolation and approximation and approximation in Hilbert space.

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iii, 53 leaves

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  • May 1977

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  • May 10, 2015, 6:16 a.m.

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  • June 17, 2016, 12:02 p.m.

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Lal, Ram. Interpolation and Approximation, thesis, May 1977; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc504571/: accessed December 14, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .