Best L2 Local Approximation on Two Small Intervals |
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| Authors: | H H Cuenya C V Ridolfi |
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| Institution: | 1. Department of Mathematics, Faculty of Exact Sciences, National University of Río Cuarto, Río Cuarto, Argentina;2. Institute of Applied Mathematics of de San Luis, CONICET, National University of San Luis, San Luis, Argentina |
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| Abstract: | In this article, we introduce the τ condition, which is weaker than the L2 differentiability. If a function satisfies the τ condition on two points of ?, we prove the existence and characterization of the best local polynomial approximation on these points. |
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| Keywords: | Algebraic polynomials best local approximation L2 differentiability |
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