Baskakov-Durrmeyer算子线性组合加权逼近的Stechkin-Marchaud型不等式

Stechkin-Marchaud-Type inequalities of weighted approximation for linear combination of Baskakov-Durrmeyer operators

讨论了光滑模与K-泛函的关系,给出Baskakov-Durrmeyer算子线性组合加权逼近Stechkin-Marchaud型不等式.同时,得到其逼近的逆定理.

This paper studies the equivalence relation between K-functional and molduli of smoothness, and gives the weighted Stechkin-Marchaud-type inequalities of approximation for linear combination of Baskakov-Durrmeyer operators. Moreover, this paper also obtains the inverse result of weighted approximation for linear combination of Baskakov-Durrmeyer operators with ωo^2r （f ;t）w,p.