Stechkin-Marchaud Type Inequalities in Lp for Linear Combination of Bernstein-Durrmeyer Operators - Open Journal of Applied Sciences

OJAppS > Vol.2 No.4, December 2012

Open Journal of Applied Sciences

Volume 2, Issue 4 (December 2012)

ISSN Print: 2165-3917 ISSN Online: 2165-3925

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Stechkin-Marchaud Type Inequalities in L_p for Linear Combination of Bernstein-Durrmeyer Operators ()

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DOI: 10.4236/ojapps.2012.24B052 2,334 Downloads 3,636 Views Citations

Author(s)

Feng Guo, Meiqin Ke

Affiliation(s)

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

ABSTRACT

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.

KEYWORDS

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

Share and Cite:

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.

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