Some approximation properties of modified Szasz-Mirakyan-Kantorovich operators

Authors

  • Grzegorz Nowak University of Marketing and Management, Leszno, Poland
  • Aneta Sikorska-Nowak Adam Mickiewicz University, Poznan, Poland

DOI:

https://doi.org/10.33993/jnaat381-903

Keywords:

Szasz-Mirakyan operator, rate of convergence, Lebesgue-Denjoy point
Abstract views: 208

Abstract

In this paper we consider the modified Szasz-Mirakyan-Kantorovich operators for functions \(f\) integrable in the sense of Denjoy-Perron. Moreover, we estimate the rate of pointwise convergence of \(M_nf(x)\) at the Lebesgue-Denjoy points \(x\) of \(f\) .

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References

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Totik, V., Uniform approximation by Szasz-Mirakyan type operators, Acta Math. Hung., 41, pp. 241-307, 1983, https://doi.org/10.1007/bf01961317 DOI: https://doi.org/10.1007/BF01961317

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Walczak, Z., On certain modified Szasz-Mirakyan operators for functions of two variables, Demonstratio Math., 33 (1), pp. 91-100, 2000,https://doi.org/10.1515/dema-2000-0112 DOI: https://doi.org/10.1515/dema-2000-0112

Walczak, Z., On modified Szasz-Mirakyan operators, Novi Sad J. Math., 33 (1), pp. 93-107, 2003.

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Published

2009-02-01

How to Cite

Nowak, G., & Sikorska-Nowak, A. (2009). Some approximation properties of modified Szasz-Mirakyan-Kantorovich operators. Rev. Anal. Numér. Théor. Approx., 38(1), 73–82. https://doi.org/10.33993/jnaat381-903

Issue

Vol. 38 No. 1 (2009)

Section

Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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