A New Approach to Improved Multiquadric Quasi-Interpolation by Using General Hermite Interpolation
نویسندگان
چکیده
Abstract In this paper, a new approach to improve univariate multiquadric operators is surveyed. The presented scheme is obtained by using Hermite interpolating polynomials where the function is approximated by generalized LB quasi-interpolation operator. Error analysis shows that the convergence rate depends on the shape parameter c. Thus, our operators could provide the desired smoothness and precision by choosing the suitable value of c. The advantage of the resulting scheme is that the algorithm is simple and provides a high degree of accuracy.
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