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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
https://izlik.org/JA69ZF42JY

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
https://izlik.org/JA69ZF42JY

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 Research Article
Authors

İbrahim Büyükyazıcı

Çiğdem Atakut

Publication Date June 1, 2018
IZ https://izlik.org/JA69ZF42JY
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. https://izlik.org/JA69ZF42JY
AMA 1.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):569-576. https://izlik.org/JA69ZF42JY
Chicago Büyükyazıcı, İbrahim, and Çiğdem Atakut. 2018. “On the Order of Approximation of Unbounded Functions by the Modified Rational Type Baskakov Operators”. Gazi University Journal of Science 31 (2): 569-76. https://izlik.org/JA69ZF42JY.
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 [1]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, June 2018, [Online]. Available: https://izlik.org/JA69ZF42JY
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 1, 2018): 569-576. https://izlik.org/JA69ZF42JY.
JAMA 1.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, June 2018, pp. 569-76, https://izlik.org/JA69ZF42JY.
Vancouver 1.İbrahim Büyükyazıcı, Çiğdem Atakut. On the Order of Approximation of Unbounded Functions by the Modified Rational type Baskakov Operators. Gazi University Journal of Science [Internet]. 2018 Jun. 1;31(2):569-76. Available from: https://izlik.org/JA69ZF42JY