Araştırma Makalesi
Yıl 2019,
Cilt: 68 Sayı: 2, 2313 - 2323, 01.08.2019
Öz
Kaynakça
- 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.
- Korovkin, P. P., On convergence of linear positive operators in the space of continuousfunctions, Dokl. Akad. Nauk, 90(1953), 961-964.
- 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.
- 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).
- 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.
- Cao, J. D., A generalization of the Bernstein Polynomials, J. Math. Analy. and Appl.Math., 122(2000) (1997), 1-21.
- Lorentz, G. G., Bernstein polynomials, Chelsea, New York, (1986).
- Gurdek, M., Rempulska, L. and Skorupka, M., The Baskakov operators for functions oftwo variables, Collect. Math., 50(3) (1999), 289–302.
- 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.
- 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.
- Dirik, F. and Demirci, K., Korovkin type approximation theorem for functions of twovariables in statistical sense, Turk. J. Math., 34 (2010), 73–83.
- Stancu, D. D., A method for obtaining polynomials of Bernstein type of two variables,Amer. Math. Monthly, 70(3) (1963), 260-264.
- Gazanfer, A. K. and Büyükyazici, I., Approximation by certain linear positive operatorsof two variables, Hindawi Publishing Corporation Abstract and Applied Analysis, ID 782080,(2014).
- 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.
Yıl 2019,
Cilt: 68 Sayı: 2, 2313 - 2323, 01.08.2019
Öz
In this study, the generalized Bernstein-Kantorovich type operators
are introduced and some approximation properties of these operators
are studied in the space of continuous functions of two variables on
a compact set . The convergence rate of these operators are obtained by
means of the modulus of continuity. The Voronovskaya type theorem is
given and some differential properties of these operators are proved.
Anahtar Kelimeler
Bernstein-Kantorovich operators modulus of continuity Voronovskaya type theorem
Kaynakça
- 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.
- Korovkin, P. P., On convergence of linear positive operators in the space of continuousfunctions, Dokl. Akad. Nauk, 90(1953), 961-964.
- 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.
- 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).
- 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.
- Cao, J. D., A generalization of the Bernstein Polynomials, J. Math. Analy. and Appl.Math., 122(2000) (1997), 1-21.
- Lorentz, G. G., Bernstein polynomials, Chelsea, New York, (1986).
- Gurdek, M., Rempulska, L. and Skorupka, M., The Baskakov operators for functions oftwo variables, Collect. Math., 50(3) (1999), 289–302.
- 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.
- 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.
- Dirik, F. and Demirci, K., Korovkin type approximation theorem for functions of twovariables in statistical sense, Turk. J. Math., 34 (2010), 73–83.
- Stancu, D. D., A method for obtaining polynomials of Bernstein type of two variables,Amer. Math. Monthly, 70(3) (1963), 260-264.
- Gazanfer, A. K. and Büyükyazici, I., Approximation by certain linear positive operatorsof two variables, Hindawi Publishing Corporation Abstract and Applied Analysis, ID 782080,(2014).
- 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.
Toplam 14 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Makaleler |
| Yazarlar | |
| Yayımlanma Tarihi | 1 Ağustos 2019 |
| Gönderilme Tarihi | 26 Nisan 2019 |
| Kabul Tarihi | 9 Temmuz 2019 |
| Yayımlandığı Sayı | Yıl 2019 Cilt: 68 Sayı: 2 |
Kaynak Göster
Cited By
A Generalization of Two Dimensional Bernstein-Stancu Operators
Sinop Üniversitesi Fen Bilimleri Dergisi
https://doi.org/10.33484/sinopfbd.1015143
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
