A shape preserving area true approximation of histogram by rational splines |
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| Authors: | Manabu Sakai Riaz A Usmani |
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| Institution: | (1) Department of Mathematics, Faculty of Science Kagoshima University, 890 Kagoshima, Japan;(2) Department of Applied Mathematics, University of Manitoba, R3T 2N2 Winnipeg, Manitoba, Canada |
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| Abstract: | For a given histogram, we consider an application of a simple rational spline to a shape preserving area true approximation of the histogram. An algorithm for determination of the spline is as easy as one with a quadratic polynomial spline, while the latter does not always preserve the shape of the histogram. Some numerical examples are given at the end of the paper. |
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| Keywords: | 65D07 41A15 |
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