a1 Department of Mathematics, University of Architecture, Civil Engineering and Geodesy, BG-1046, Sofia, Bulgaria (email: email@example.com)
We improve the degree of pointwise approximation of continuous functions f(x) by Bernstein operators, when x is close to the endpoints of [0,1]. We apply the new estimate to establish upper and lower pointwise estimates for the test function g(x)=xlog (x)+(1−x)log (1−x). At the end we prove a general statement for pointwise approximation by Bernstein operators.
(Received April 22 2011)
2010 Mathematics subject classification
Keywords and phrases