APPROXIMATION BY THE BIVARIATE COMPLEX BASKAKOV-STANCU OPERATORS

Volume: 63 Number: 2 August 1, 2014
EN

APPROXIMATION BY THE BIVARIATE COMPLEX BASKAKOV-STANCU OPERATORS

Abstract

In this paper we study the approximation properties of the Stancutype bivariate generalization of the complex Baskakov operators. We obtaina Voronovskaja type result with quantitative estimates for bivariate complexBaskakov-Stancu operators attached to analytic functions having suitable exponential growth on compact polydisks. Also we give the exact order of approximation

Keywords

References

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  2. Barbosu, D.; Some generalized bivariate Berstein operators. Mathematical Notes (Miskolc) Vol. 1.(1), (2000), 3-10.
  3. Barbosu,D., Bivariate Operators of Schurer-Stancu Type, An. St. Univ. Ovidius Constanta, Vol. 11 (1), (2003), 1–8.
  4. Baskakov, V.A.; An example of a sequence of linear positive operators in the space of con- tinuous functions. Dokl. Akad. Nauk SSSR 113, 249-251, (1957) (in Russian).
  5. Cao, F., Ding, C., Xu, Z.: On multivariate Baskakov operators. J. Math. Anal. Appl.307, –291, (2005).
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  7. Gal, S.G.: Approximation by complex Bernstein-Stancu polynomials in compact disks. Re- sults Math.53, 245-256 (2009).
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Details

Primary Language

English

Subjects

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Journal Section

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Authors

Nurhayat Ispir This is me

Publication Date

August 1, 2014

Submission Date

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Acceptance Date

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Published in Issue

Year 1970 Volume: 63 Number: 2

APA
Ispir, N., & Manav, N. (2014). APPROXIMATION BY THE BIVARIATE COMPLEX BASKAKOV-STANCU OPERATORS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 63(2), 23-39. https://doi.org/10.1501/Commua1_0000000709
AMA
1.Ispir N, Manav N. APPROXIMATION BY THE BIVARIATE COMPLEX BASKAKOV-STANCU OPERATORS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2014;63(2):23-39. doi:10.1501/Commua1_0000000709
Chicago
Ispir, Nurhayat, and Nesibe Manav. 2014. “APPROXIMATION BY THE BIVARIATE COMPLEX BASKAKOV-STANCU OPERATORS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 63 (2): 23-39. https://doi.org/10.1501/Commua1_0000000709.
EndNote
Ispir N, Manav N (August 1, 2014) APPROXIMATION BY THE BIVARIATE COMPLEX BASKAKOV-STANCU OPERATORS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 63 2 23–39.
IEEE
[1]N. Ispir and N. Manav, “APPROXIMATION BY THE BIVARIATE COMPLEX BASKAKOV-STANCU OPERATORS”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 63, no. 2, pp. 23–39, Aug. 2014, doi: 10.1501/Commua1_0000000709.
ISNAD
Ispir, Nurhayat - Manav, Nesibe. “APPROXIMATION BY THE BIVARIATE COMPLEX BASKAKOV-STANCU OPERATORS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 63/2 (August 1, 2014): 23-39. https://doi.org/10.1501/Commua1_0000000709.
JAMA
1.Ispir N, Manav N. APPROXIMATION BY THE BIVARIATE COMPLEX BASKAKOV-STANCU OPERATORS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2014;63:23–39.
MLA
Ispir, Nurhayat, and Nesibe Manav. “APPROXIMATION BY THE BIVARIATE COMPLEX BASKAKOV-STANCU OPERATORS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 63, no. 2, Aug. 2014, pp. 23-39, doi:10.1501/Commua1_0000000709.
Vancouver
1.Nurhayat Ispir, Nesibe Manav. APPROXIMATION BY THE BIVARIATE COMPLEX BASKAKOV-STANCU OPERATORS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2014 Aug. 1;63(2):23-39. doi:10.1501/Commua1_0000000709

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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