Bernstein算子线性组合加权逼近下的Stechkin-Marchaud不等式

STECHKIN-MARCHAUD TYPE INEQUALITIES OF WEIGHTED APPROXIMATION FOR THE LINEAR COMBINATIONS OF BERNSTEIN OPERATORS

利用K-泛函与光滑模的等价关系,研究了Bernstein算子线性组合加Jacobi权逼近下的Stechkin-Marchaud型不等式,并得到了Bernstein算子线性组合关于ω_φ~r(f,t)_w的逆定理,对已有结果进行了完善及补充。

Based on the equivalence relation between the K-functional and the moduli of smoothness, the Stechkin-Marchaud type inequality with the Jacobi weighted approximation for the Linear Combinations of Bernstein Operators are established. Moreover, the inverse result of Bernstein Operators with ωrφ（f,t）wis obtained, the existing results are improved and added.