Baskakov-Durrmeyer算子在Orlicz空间L_Φ~*[0,∞)中逼近的等价定理

Equivalent Theorem of Approximation by Baskakov-Durrmeyer Operators in Orlicz Spaces L_Φ~*[0,∞)

在由Young函数生成的Orlicz空间L_Φ~*[0,∞)中,考虑Baskakov-Durrmeyer算子的逼近性质.利用修正的K-泛函和连续模等价性,得到了Baskakov-Durrmeyer算子逼近的正、逆和等价定理.

The author considered the approximation properties of the Baskakov-Durrmeyer operators in Orlicz spaces L_Φ~*[0,∞) generated by the Young function,and obtained the direct,inverse and equivalent theorem of the approximation by the Baskakov-Durrmeyer operators by using the equivalence relationship between modified K-functional and continuous modulus.