Author(s)

Xiaoyang Zheng, Zhengyuan Wei

College of Mathematics and Statistics, Chongqing University of Technology, Chongqing, China.

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.

Legendre Wavelet, Estimate, Exponential ?-Hölder Continuity

Zheng, X. and Wei, Z. (2016) Estimates of Approximation Error by Legendre Wavelet. Applied Mathematics, 7, 694-700. doi: 10.4236/am.2016.77063.