On compound operators depending on s parameters


  • Maria Crăciun Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy, Romania




compound linear and positive approximation operators, polynomial sequences of binomial type, integral representation of remainder
Abstract views: 197


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.


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How to Cite

Crăciun, M. (2004). On compound operators depending on s parameters. Rev. Anal. Numér. Théor. Approx., 33(1), 51–60. https://doi.org/10.33993/jnaat331-758