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.

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

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

https://ictp.acad.ro/craciun/papers/craciun-2004-ANTA.pdf

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

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