A Stancu type extension of the Campiti-Metafune operator

Authors

  • Teodora Cătinaș Department of Mathematics, Babeș-Bolyai University, Cluj-Napoca, Romania image/svg+xml

DOI:

https://doi.org/10.33993/jnaat542-1638

Keywords:

Campiti-Metafune operator, Stancu operator, Bernstein operator, moments of the operator
Abstract views: 9

Abstract

We consider an extension of the Campiti-Metafune operator using a Stancu type technique. We study some  properties of the new obtained operator.

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References

[1] O. Agratini, Approximation by linear operators, Cluj University Press, 2000.

[2] T. Bostanci, G. Bascanbaz–Tunca, A Stancu type extension of Cheney and Sharma operator, J. Numer. Anal. Approx. Theory, 47 (2018), pp. 124–134. https://doi.org/10.33993/jnaat472-1133 DOI: https://doi.org/10.33993/jnaat472-1133

[3] M. Campiti, G. Metafune, Approximation of recursively defined Bernstein-type operators, J. Approx. Theory, 87 (1996), pp. 243–269. DOI: https://doi.org/10.1006/jath.1996.0104

[4] T. Cătinaș, I. Budă, An extension of the Cheney–Sharma operator of the first kind, J. Numer. Anal. Approx. Theory, 52(2) (2023), pp. 172–181. https://doi.org/10.33993/jnaat522-1373 DOI: https://doi.org/10.33993/jnaat522-1373

[5] E. Grigoriciuc, A Stancu type extension of the Cheney–Sharma Chlodovsky operators, J. Numer. Anal. Approx. Theory, 53(1) (2024), pp. 103–117. https://doi.org/10.33993/jnaat531-1406 DOI: https://doi.org/10.33993/jnaat531-1406

[6] D.D. Stancu, Quadrature formulas constructed by using certain linear positive operators, Numerical Integration (Proc. Conf., Oberwolfach, 1981), ISNM 57 (1982), Birkhäuser Verlag, Basel, pp. 241–251. DOI: https://doi.org/10.1007/978-3-0348-6308-7_23

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Published

2025-12-15

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How to Cite

Cătinaș, T. (2025). A Stancu type extension of the Campiti-Metafune operator. J. Numer. Anal. Approx. Theory, 54(2), 229-236. https://doi.org/10.33993/jnaat542-1638