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Estimates of Approximation Error by Legendre Wavelet
College of Mathematics and Statistics, Chongqing University of Technology, Chongqing, China
College of Mathematics and Statistics, Chongqing University of Technology, Chongqing, China
- 1 College of Mathematics and Statistics, Chongqing University of Technology, Chongqing, China
- 2 College of Mathematics and Statistics, Chongqing University of Technology, Chongqing, China
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Abstract
This paper first introduces Legendre wavelet bases and derives their rich properties. Then these properties are applied to estimation of approximation error upper bounded in spaces and by norms and , respectively. These estimate results are valuable to solve integral-differential equations by Legendre wavelet method.
KeywordsLegendre WaveletEstimateExponential ?-Hölder Continuity
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