Bernstein-Durrmeyer算子拟中插式的逼近

Approximation by Bernstein-Durrmeyer Quasi-Interpolants

最近,为了得到更快的逼近速度,人们引入了某些著名算子的拟中插式.我们研究了Bernstein-Durrmeyer算子的拟中插式Mn(2r-1)(f,x),用Ditzian-Totik模得到了它们的正、逆定理和等价定理.这里.

Recently some classical operators quasi-interpolants were introduced to obtain much faster convergence. We consider Bernstein-Durrmeyer quasi-interpolants Mn(2r-1)(f,x) and obtain direct, inverse and equivalence theorems with . Here is Ditzian-Totik modulus smoothness with (?)λ(x)=(x(1-x))λ/2.