# On compound operators depending on s parameters

## Abstract

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.

## Authors

M. Craciun
(Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy)

## Keywords

Compound linear and positive approximation operators; polynomial sequences of binomial type; integral representation of remainder.

## PDF

##### Cite this paper as:

M. Crăciun, On compound operators depending on s parameters, Rev. Anal. Numér. Théor. Approx., vol. 33 (2004) no. 1, pp.51-60.

1222-9024

##### Online ISSN

2457-8126

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