摘要
本文对Bernstein算子证明了其强逆不等式,这些不等式曾被Ditzian,Ivanov,Totik,李松等人用不同的方法得到过,但其结果是通常的估计(λ=1),古典的结果(λ=0)没有包含,本文引入κ-泛函K_λ~α(f,t^2)(0≤λ≤1,0<α<2),将已有结果推广到0≤λ≤1的情形。
For Bernstein operators, we get the strong converse inequalities. Such inequalities have been proved by Ditzian Z., Ivanov K. G., Totik V. and Li Song with different methods. But these results are only normal estimates (with A = 1), the classical one (with A = 0) is not included. In this paper, we introduce the k-functional and extend the preuious results to a larger case 0< λ<1.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2003年第5期891-896,共6页
Acta Mathematica Sinica：Chinese Series
基金
河北省自然科学基金(101090)
河北师范大学重点学科基金
博士基金资助项目
