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

Year 2018, Volume: 31 Issue: 2, 569 - 576, 01.06.2018

Abstract

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.

References

  • 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).
Year 2018, Volume: 31 Issue: 2, 569 - 576, 01.06.2018

Abstract

References

  • 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).
There are 7 citations in total.

Details

Journal Section Mathematics
Authors

İbrahim Büyükyazıcı

Çiğdem Atakut

Publication Date June 1, 2018
Published in Issue Year 2018 Volume: 31 Issue: 2

Cite

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. June 2018;31(2):569-576.
Chicago Büyükyazıcı, İbrahim, and Çiğdem Atakut. “On the Order of Approximation of Unbounded Functions by the Modified Rational Type Baskakov Operators”. Gazi University Journal of Science 31, no. 2 (June 2018): 569-76.
EndNote Büyükyazıcı İ, Atakut Ç (June 1, 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 and Ç. Atakut, “On the Order of Approximation of Unbounded Functions by the Modified Rational type Baskakov Operators”, Gazi University Journal of Science, vol. 31, no. 2, pp. 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 (June 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 and Çiğdem Atakut. “On the Order of Approximation of Unbounded Functions by the Modified Rational Type Baskakov Operators”. Gazi University Journal of Science, vol. 31, no. 2, 2018, pp. 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.