A certain family of summation-integral type operators
In the present paper, the authors introduce and investigate a new sequence of linear positive operators G(n,c), which includes some well-known operators as its special cases. The results obtained here include an estimate on the rate of convergence of G(n,c) (f, x) by means of the decomposition technique for functions of bounded variation. (C) 2003 Elsevier Science Ltd. All rights reserved.
linear positive operators rate of convergence bounded variation locally integrable functions total variation sharp bound