TITLE:
Stechkin-Marchaud Type Inequalities in Lp for Linear Combination of Bernstein-Durrmeyer Operators
AUTHORS:
Feng Guo, Meiqin Ke
KEYWORDS:
Bernstein-Durrmeyer operators; linear combination; K-functional;Stechkin-Marchaud-type inequalities; modulus of smoothness
JOURNAL NAME:
Open Journal of Applied Sciences,
Vol.2 No.4B,
January
17,
2013
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.