Approximation of bounded variation functions by a B谷zier variant of the Bleimann, Butzer, and Hahn operators

作者：Vijay Gupta; Ogun Do ru

来源：International Journal of Mathematics and Mathematical Sciences, 2006.

DOI：10.1155/ijmms/2006/37253

We give a sharp estimate on the rate of convergence for the B%26#xE9;zier variant of Bleimann, Butzer, and Hahn operators for functions of bounded variation. We consider the case when %26#x03B1;%26#x2265;1 and our result improves the recently established results of Srivastava and Gupta (2005) and de la Cal and Gupta (2005).