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Numerical Integration Based on Bivariate Quartic Quasi-Interpolation Operators

In this paper, we propose a method to deal with numerical integral by using two kinds of C 2 quasi-interpolation operators on the bivariate spline space, and also discuss the convergence properties and error estimates. Moreover, the proposed method is applied to the numerical evaluation of 2-D singular integrals. Numerical experiments will be carried out and the results will be compared with some previously published results.