EN
On the Order of Approximation of Unbounded Functions by the Modified Rational type Baskakov Operators
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.
Keywords
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).
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Publication Date
June 1, 2018
Submission Date
July 25, 2017
Acceptance Date
March 14, 2018
Published in Issue
Year 2018 Volume: 31 Number: 2
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