Legendre Wavelet Expansion of a Function f(x, y) and its Approximation

Abstract

In this paper, two new Legendre Wavelet estimators of a function f of two variable x and y by (2th partials sums of their Legendre wavelet series are obtained. These estimators are sharper and better in Wavelet Analysis. General TermsContinuous function, basic wavelet, partial derivatives of a function of two variable, Legendre polynomials, partial sums of Legendre expansion.