【摘要】：本文將再生核Hilbert空間作為假設(shè)空間,通過(guò)整函數(shù)和節(jié)點(diǎn)函數(shù)的逼近結(jié)果來(lái)研究逆二次項(xiàng)核和Gaussian核在共同光滑函數(shù)類中產(chǎn)生的逼近誤差,得到其逼近誤差呈對(duì)數(shù)型衰減。即:(1)對(duì)逆二次項(xiàng)核(?)時(shí),有(?)。(2)對(duì)Gaussian核(?),當(dāng)(?)時(shí),有(?)。其中f∈W~A_2(IR~d),r定義見(jiàn)1.1。這一結(jié)果推廣了周定軒對(duì)逆二次項(xiàng)核和Gaussian核在一般Sobolev空間中的逼近誤差的研究結(jié)果。
[Abstract]:In this paper, the reproducing kernel Hilbert space is taken as the hypothetical space, and the approximation error of inverse quadratic kernel and Gaussian kernel in the common smooth function class is studied by using the approximation results of the whole function and the node function, and it is found that the approximation error is logarithmic decay. That is, (1) for the inverse quadratic kernel (?) There is (?). (2) for the Gaussian kernel (?), when (?) When, there is (?). Where f 鈮，

本文編號(hào)：2501780