On compound operators depending on s parameters

In this note we introduce a compound operator depending on \(s\) parameters using binomial sequences. We compute the values of this operator on the test functions, we give a convergence theorem and a representation of the remainder in the corresponding approximation formula. We also mention some special cases of this operator.

# Mathematics # compound linear and positive approximation operators # polynomial sequences of binomial type # integral representation of remainder

Maria Crăciun (2004). "On compound operators depending on s parameters". Journal of Numerical Analysis and Approximation Theory.