Multiquadric Quasi-Interpolation Based on Integral Values
In this paper,a kind of MQ quasi-interpolation operator based on integral value is proposed.That is,the integral-valued MQ quasi-interpolation operator.It is a direct construction method.Firstly,the quasi-interpolation operator of the antiderivative is constructed.Then based on the properties of the antiderivative,the integral-valued MQ quasi-interpolation operator is obtained.The quadratic approximation order and constant reproduction property of the quasi-interpolation operator are proved.Finally,The results of numerical experiments show that the method is effective.
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