Baskakov型算子加权逼近下的Stechkin-Marchaud不等式

Stechkin-Marchaud Type Inequalities of Weighted Approximation for Baskakov-type Operators

中文关键词:  Baskakov型算子  Steckin-Marchaud不等式  加权逼近

英文关键词:Baskakov-type operators  Stechkin-Marchaud-type inequalities  weighted approximation.

中文摘要:

      本文利用K-泛函与光滑模的等价性,研究了Baskakov型算子加Jacobi权逼近下的Stechkin-Marchaud不等式,并得到了Baskakov型算子关于ω_φ²(f,t)_ω的逆结果.

英文摘要:

      Using the equivalence relation between K-functional and moduli of smoothness , the Stechkin-Marchaud type inequality of weighted approximation for Baskakov-type operators are established. Moreover, the inverse result of Baskakov-type operators with ω_φ²(f,t)_ω is obtained.