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On d.c. Functions and Mappings17 May 2001 (has links)
No description available.
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ANALYTICAL METHODS FOR TRANSPORT EQUATIONS IN SIMILARITY FORMTiwari, Abhishek 01 January 2007 (has links)
We present a novel approach for deriving analytical solutions to transport equations expressedin similarity variables. We apply a fixed-point iteration procedure to these transformedequations by formally solving for the highest derivative term and then integrating to obtainan expression for the solution in terms of a previous estimate. We are able to analyticallyobtain the Lipschitz condition for this iteration procedure and, from this (via requirements forconvergence given by the contraction mapping principle), deduce a range of values for the outerlimit of the solution domain, for which the fixed-point iteration is guaranteed to converge.
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An investigation concerning the absolute convergence of Fourier seriesTiger Norkvist, Axel January 2016 (has links)
In this Bachelor's thesis we present a few results about the absolute convergence of Fourier series, followed by an example of a differentiable function whose Fourier series does not converge absolutely. In the end we provide a suggestion for future work on generalizing the given example, and we briefly discuss an issue that has not been given much attention in the existing literature on the subject.
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