CAJ | 학술논문

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Lp(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.
결합최가m항핍근화단변핍근적사상인진소위최가m항단변핍근적개념,급출유Fourier계수학정적광활함수류통과삼각함수계재Lp(1≤P≤∞)적최가m-항단변핍근점근고계이급m-항류탐람단변핍근결과.
In this Paper a new kind of approximation method,called non-linear m-term onesided approximation,is introduced by combining the non-linear best m-term approximation with the one-sided approximation.With this new kind of approximation method,asymptotic estimates of nonlinear best m-term one-sided approximation,given by the trigonometric function system under the norm Lp(1≤P≤∞)of function classes determined by Fourier coefficients,and corresponding m-term greedy-liked one-sided approximation results are given.