Abstract
In this paper, a kind of improved univariate multiquadric quasi-interpolation operators is proposed by using Hermite interpolating polynomials. Error analysis shows that the convergence rate of the operators depends heavily on the shape parameter c , which indicates that our operators could provide the desired smoothness and precision by choosing a suitable value of c . Numerical examples show that the operators provide a high degree of accuracy. Moreover, operators are applied to the fitting of discrete solutions of initial value problems.
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