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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Volume: 68 Issue: 2

Approximation properties of Bernstein-Kantorovich type operators of two variables

Döne Karahan0000-0001-6644-5596
Aydın İzgi0000-0003-3715-8621
Sayfa
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Yayın Tarihi
2019-08-01
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In this study, the generalized Bernstein-Kantorovich type operators

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Amaç & Hipotez:In this study, the generalized Bernstein-Kantorovich type operators
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Temel Bulgular & Veri:In this study, the generalized Bernstein-Kantorovich type operators
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Sonuç & Katkı:In this study, the generalized Bernstein-Kantorovich type operators
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Bernstein-Kantorovich operators · modulus of continuity · Voronovskaya type theorem

Abstract

In this study, the generalized Bernstein-Kantorovich type operators

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Bu Makaleye Atıf Yap

Karahan, D., İzgi, A. (2019). Approximation properties of Bernstein-Kantorovich type operators of two variables. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 2. https://doi.org/10.31801/cfsuasmas.558169

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Kaynakça (14)

  1. Bernstein, S. N., Demonstration du theorem de Weierstrass fondee sur le calculu des probabilites,Comp. Comm. Soc. Mat. Charkow Ser., 13(2)(1912), 1-2.
  2. Korovkin, P. P., On convergence of linear positive operators in the space of continuousfunctions, Dokl. Akad. Nauk, 90(1953), 961-964.
  3. Kantorovich, L. V., Sur certains developments suivant les polynomes de la forms de S.Bernstein I, II, Dokal Akad Nauk SSSR, (1930) 595-600, 563-568.
  4. Durrmeyer, J. L., Une formula d’invension de la transforms de Laplace-Appliction a’la theorie des moments, The’se de 3e cycle, Faculte’ des Sciences de I’Universite de Paris, (1967).
  5. Izgi, A., Approximation by a class of new type Bernstein polynomials of one two variables,Global Journal of Pure and Applied Mathematics, 8(5) (2012), 55-71.
  6. Cao, J. D., A generalization of the Bernstein Polynomials, J. Math. Analy. and Appl.Math., 122(2000) (1997), 1-21.
  7. Lorentz, G. G., Bernstein polynomials, Chelsea, New York, (1986).
  8. Gurdek, M., Rempulska, L. and Skorupka, M., The Baskakov operators for functions oftwo variables, Collect. Math., 50(3) (1999), 289–302.
  9. Kahvecibasi, I., Approximation properties of the Bernstein-Kantorovich operators on theinterval [-1,1], Master of Science Thesis, Graduate School of Natural and Applied SciencesDepartment of Mathematic, Harran University, Sanlıurfa, Turkey.
  10. Volkov, V. I., On the convergence of sequences of linear positive operators in the space oftwo variables, Dokl. Akad. Nauk. SSSR (N.S.), 115 (1957), 17-19.
  11. Dirik, F. and Demirci, K., Korovkin type approximation theorem for functions of twovariables in statistical sense, Turk. J. Math., 34 (2010), 73–83.
  12. Stancu, D. D., A method for obtaining polynomials of Bernstein type of two variables,Amer. Math. Monthly, 70(3) (1963), 260-264.
  13. Gazanfer, A. K. and Büyükyazici, I., Approximation by certain linear positive operatorsof two variables, Hindawi Publishing Corporation Abstract and Applied Analysis, ID 782080,(2014).
  14. Sahai, A., An iterative reduced-bias algorithm for a dual-fusion variant of Bernstein’soperator, Inter. Journal of Math. Arch., 2(3) (2011), 331-334.