| 孙燮华.用Hermite-Fejér型插值多项式逼近连续函数[J].数学研究及应用,1983,3(2):45~50 |
| 用Hermite-Fejér型插值多项式逼近连续函数 |
| Approximation of Continuous Functions by Hermite-Fejér Type Interpolation Polynomials |
| 投稿时间：1981-03-10 |
| DOI：10.3770/j.issn:1000-341X.1983.02.008 |
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| Let f(x)∈C[-1,1],Tn(x)=cos (n arccos x),Un(x)=(sin((n+1)arccosx))/(1-x2)1/2,Pn(x) be the Legendre polynomials of degree n. And let ω(t ) be a given modulus of continuity, Hω={f|ω(f,t)≤ω(t)}.A. K. Sharma and J. Tzimbalario(J. Appro. Th., 13(1975), 431-442) considered the operators Ln,p (f, x) (p= 0, 1, 2,3) and obtained some theorems.In this paper, we prove the following theorems. |
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