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On the Order of Approximation of Unbounded Functions by the Modified Rational type Baskakov Operators

Yıl 2018, Cilt: 31 Sayı: 2, 569 - 576, 01.06.2018

Öz

In the present paper, we give a generalization of rational type Baskakov operators and study the order of approximation of continuous functions with polynomials growth at infinity by using these operators.

Kaynakça

  • F. Altomare, M. Campiti, Korovkin-Type Approximation Theory and Its applications, 1994, New York.
  • A.D. Gadjiev, A problem on the convergence of a sequence of positive linear operators on unbounded sets, and theorems that are analogous to P. P. Korovkin's theorem. (Russian), Dokl. Akad. Nauk SSSR, 218, 1001-1004 (1974).
  • A. D. Gadjiev, Weighted approximation of continuous functions by positive linear operators on the whole real axis(Russian), Izv. Akad. Nauk Azerb. SSR Ser. Fiz.-Tehn. Mat. Nauk, 5, 41-45 (1975).
  • A.D. Gadjiev, Ç. Atakut, On Approximation Of Unbounded Functions By The Generalized Baskakov Operators, Trans. Acad. Sci. Azerb. Ser. Phys.- Tech. Math. Sci., 23(1), 33-42 (2003).
  • V. Gupta, N. Ispir, On the Bezier variant of generalized Kantorovich type Balazs operators, Appl. Math. Lett., 18(9), 1053-1061 (2005).
  • N. ·Ispir, Ç . Atakut, Approximation by generalized Balazs type rational functions, Int. J. Comput. Numer. Anal., 4(3), 297-316 (2003).
  • N. ·Ispir, Rate of convergence of generalized rational type Baskakov operators, Mathematical and Computer Modelling, 46, 625-631(2007).
Yıl 2018, Cilt: 31 Sayı: 2, 569 - 576, 01.06.2018

Öz

Kaynakça

  • F. Altomare, M. Campiti, Korovkin-Type Approximation Theory and Its applications, 1994, New York.
  • A.D. Gadjiev, A problem on the convergence of a sequence of positive linear operators on unbounded sets, and theorems that are analogous to P. P. Korovkin's theorem. (Russian), Dokl. Akad. Nauk SSSR, 218, 1001-1004 (1974).
  • A. D. Gadjiev, Weighted approximation of continuous functions by positive linear operators on the whole real axis(Russian), Izv. Akad. Nauk Azerb. SSR Ser. Fiz.-Tehn. Mat. Nauk, 5, 41-45 (1975).
  • A.D. Gadjiev, Ç. Atakut, On Approximation Of Unbounded Functions By The Generalized Baskakov Operators, Trans. Acad. Sci. Azerb. Ser. Phys.- Tech. Math. Sci., 23(1), 33-42 (2003).
  • V. Gupta, N. Ispir, On the Bezier variant of generalized Kantorovich type Balazs operators, Appl. Math. Lett., 18(9), 1053-1061 (2005).
  • N. ·Ispir, Ç . Atakut, Approximation by generalized Balazs type rational functions, Int. J. Comput. Numer. Anal., 4(3), 297-316 (2003).
  • N. ·Ispir, Rate of convergence of generalized rational type Baskakov operators, Mathematical and Computer Modelling, 46, 625-631(2007).
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Bölüm Mathematics
Yazarlar

İbrahim Büyükyazıcı

Çiğdem Atakut

Yayımlanma Tarihi 1 Haziran 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 31 Sayı: 2

Kaynak Göster

APA Büyükyazıcı, İ., & Atakut, Ç. (2018). On the Order of Approximation of Unbounded Functions by the Modified Rational type Baskakov Operators. Gazi University Journal of Science, 31(2), 569-576.
AMA Büyükyazıcı İ, Atakut Ç. On the Order of Approximation of Unbounded Functions by the Modified Rational type Baskakov Operators. Gazi University Journal of Science. Haziran 2018;31(2):569-576.
Chicago Büyükyazıcı, İbrahim, ve Çiğdem Atakut. “On the Order of Approximation of Unbounded Functions by the Modified Rational Type Baskakov Operators”. Gazi University Journal of Science 31, sy. 2 (Haziran 2018): 569-76.
EndNote Büyükyazıcı İ, Atakut Ç (01 Haziran 2018) On the Order of Approximation of Unbounded Functions by the Modified Rational type Baskakov Operators. Gazi University Journal of Science 31 2 569–576.
IEEE İ. Büyükyazıcı ve Ç. Atakut, “On the Order of Approximation of Unbounded Functions by the Modified Rational type Baskakov Operators”, Gazi University Journal of Science, c. 31, sy. 2, ss. 569–576, 2018.
ISNAD Büyükyazıcı, İbrahim - Atakut, Çiğdem. “On the Order of Approximation of Unbounded Functions by the Modified Rational Type Baskakov Operators”. Gazi University Journal of Science 31/2 (Haziran 2018), 569-576.
JAMA Büyükyazıcı İ, Atakut Ç. On the Order of Approximation of Unbounded Functions by the Modified Rational type Baskakov Operators. Gazi University Journal of Science. 2018;31:569–576.
MLA Büyükyazıcı, İbrahim ve Çiğdem Atakut. “On the Order of Approximation of Unbounded Functions by the Modified Rational Type Baskakov Operators”. Gazi University Journal of Science, c. 31, sy. 2, 2018, ss. 569-76.
Vancouver Büyükyazıcı İ, Atakut Ç. On the Order of Approximation of Unbounded Functions by the Modified Rational type Baskakov Operators. Gazi University Journal of Science. 2018;31(2):569-76.