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

Maria Crăciun

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, https://ictp.acad.ro/jnaat/journal/article/view/1999-vol33-no1

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