Author(s)

Feng Guo, Meiqin Ke

Library, Taizhou University, Zhejiang,Taizhou 317000, China.
School of Mathematics and Information Engineering, Taizhou University, Zhejiang,Taizhou 317000, China.

In this paper, we use the equivalence relation between K-functional and modulus of smoothness, and give the Stechkin-Marchaud-type inequalities for linear combination of Bernstein-Durrmeyer operators . Moreover, we obtain the inverse result of approximation for linear combination of Bernstein-Durrmeyer operators with . Meanwhile we unify and extend some previous results.

Bernstein-Durrmeyer operators; linear combination; K-functional;Stechkin-Marchaud-type inequalities; modulus of smoothness

Guo, F. and Ke, M. (2012) Stechkin-Marchaud Type Inequalities in L_p for Linear Combination of Bernstein-Durrmeyer Operators. Open Journal of Applied Sciences, 2, 228-232. doi: 10.4236/ojapps.2012.24B052.