The Construction Of High Accuracy Multi-Quadric Quasi-interpolation Operators

In this paper, we construct two new Multi-Quadric(MQ) quasi-interpolation opera-tors, namely, (?), Lv. We have proven that (?) and (?) possess linear reproducing property,and Lv possesses strict convexity-preserving, in addition, we give the error analysis of them. The theoretical results show that the approximation accuracy of the two quasi-interpolation operators is higher than some of the existing quasi-interpolation operators,such as Wu and Schaback's LD. In some numerical experiments, (?) and Lv are com-pared with some quasi-interpolation operators, the experimental results show that the two quasi-interpolation operators constructed in our paper have higher approximation accura-cy compared with other quasi-interpolation operators.