关于推广的Bernstein多项式同时逼近的逆定理

The inverse theorem of global approximation of derivatives of generalized Bernstein polynomials

研究推广的Bernstein多项式的导数对可导函数的同时逼近,建立了同时逼近的逆定理.

The global approximation of derivatives of generalized Bernstein polynomials for the derivable functions is studied. By means of K-functional and moduli of smoothness, the inverse theorem of simultaneous approximation is established.