CAJ | 학술논문

本文研究了用子空间FT2n-1⊕SΔrN 逼近函数类Wrp的最佳逼近度与其K-宽度之间的关系.利用Kolmogorov-宽度的概念和Kolmogorov比较定理,获得了其最佳逼近度与其Kolmogorov-宽度之间的渐进性质,推广了用子空间FT2n-1⊕SΔrN 逼近函数类Wrp 的最佳逼近度的有关结论.
본문연구료용자공간FT2n-1⊕SΔrN 핍근함수류Wrp적최가핍근도여기K-관도지간적관계.이용Kolmogorov-관도적개념화Kolmogorov비교정리,획득료기최가핍근도여기Kolmogorov-관도지간적점진성질,추엄료용자공간FT2n-1⊕SΔrN 핍근함수류Wrp 적최가핍근도적유관결론.
In this paper, we study the relation between the best approximation of the function class Wrp approximated by the subspace FT2n-1⊕S△rN. and its Kolmogorov-width.By the definition of Kolmogorov-width and Kolmogorov comparative theorem, we obtain the asymptotic property between the best approximation and its Kolmogorov-width and push forward some relative results about the best approximation of the function class Wrp approximated by the subspace FT2n-1⊕S△rN.