The combined Shepard-Abel-Goncharov univariate operator

Teodora Cătinaş

doi:10.33993/jnaat321-730

Authors

Teodora Cătinaş "Babeş Bolyai" University, Cluj-Napoca, Romania

DOI:

https://doi.org/10.33993/jnaat321-730

Keywords:

Shepard-Abel-Goncharov operators, interpolation formula, degree of exactness, remainder term

Abstract views: 232

Abstract

We extend the Shepard operator by combining it with the Abel-Goncharov univariate operator in order to increase the degree of exactness and to use some specific functionals. We study this combined operator and give some of its properties. We introduce the corresponding interpolation formula and study its remainder term.

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References

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