TY - JOUR T1 - A Quasi-Interpolation Satisfying Quadratic Polynomial Reproduction with Radial Basis Functions AU - L. Zha & R. Z. Feng JO - Numerical Mathematics, a Journal of Chinese Universities VL - 4 SP - 348 EP - 357 PY - 2007 DA - 2007/11 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/nm/10064.html KW - AB - In this paper, a new quasi-interpolation with radial basis functions which satisfies quadratic polynomial reproduction is constructed on the infinite set of equally spaced data. A new basis function is constructed by making convolution integral with a constructed spline and a given radial basis function. In particular, for twicely differentiable function the proposed method provides better approximation and also takes care of derivatives approximation.