\(L^{p}\)-approximation \((p \geq 1)\) by Stancu-Kantorovich polynomials

Authors

  • Zoltán Finta “Babes-Bolyai” University, Cluj-Napoca, Romania

DOI:

https://doi.org/10.33993/jnaat312-719

Keywords:

Stancu-Kantorovich polynomials, the second modulus of smoothness of Ditzian-Totik
Abstract views: 175

Abstract

We establish direct and converse estimates for a generalized Kantorovich polynomial operator depending on a positive parameter.

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References

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Ditzian, Z. and Totik, V., Moduli of Smoothness, Springer-Verlag, Berlin Heidelberg New York London, 1987. DOI: https://doi.org/10.1007/978-1-4612-4778-4

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Stancu, D. D., Approximation of functions by a new class of linear polynomial operators, Rev. Roumaine Math. Pures Appl., 8, pp. 1173-1194, 1968.

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Published

2002-08-01

How to Cite

Finta, Z. (2002). \(L^{p}\)-approximation \((p \geq 1)\) by Stancu-Kantorovich polynomials. Rev. Anal. Numér. Théor. Approx., 31(2), 153–162. https://doi.org/10.33993/jnaat312-719

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