一类新型Bernstein-Sikkema-Bezier算子在Orlicz空间内的收敛性与逼近阶的估计

The convergence and degree of approximation of a new type of Bernstein-Sikkema-Bezier operator in Orlicz spaces

构造了一类新型的Bernstein-Sikkema-Bezier算子,并利用K泛函、连续模、凸函数的Jensen不等式、Hardy-Littlewood极大函数等工具研究了Bernstein-Sikkema-Bezier算子在Orlicz空间内的逼近问题,得到了该算子在Orlicz空间内的收敛性与逼近阶的估计.

Constructes a new type of Bernstein-Sikkema-Bezier operator,studies the approximation problem and obtains the convergence and degree of approximation in Orlicz space by using K-functional,modulus of continuity,the convex property of N-function,Jensen inequality and Hardy-Littlewood great functio.