In this paper a new kind of approximation method,called non-linear m-term one- sided approximation,is introduced by combining the non-linear best m-term approximation with the one-sided approximation.
结合最佳m项逼近和单边逼近的思想引进所谓最佳m项单边逼近的概念,给出由Fourier系数确定的光滑函数类通过三角函数系在L_p(1≤p≤∞)的最佳m-项单边逼近渐近估计以及m-项类贪婪单边逼近结果。
We discuss the extremal points of best monotone approximation in L1[0, 1], and give the corresponding conclusion.
讨论了L1[0,1]空间最佳单调逼近的极端点问题,给出了相应的结果。
In this paper some application of one sided approximation of HFAM for solving convective diffusion equations is derived.
建立对流扩散方程的高精度无数值振荡的解法一直是人们关心的研究课题，作者曾建立了一类混合有限分析（ＨＦＡ）的指数型格式，证明了它的单侧逼近性质。