EN
A Generalization of Szász-Baskakov Operators by using the Appell Polynomials of Class A^(2)
Abstract
In this paper, we obtain a generalization of the Szász-Baskakov operators with the help of A^((2)) class Appell polynomials. For every compact subset of [0,∞), the uniform convergence of these operators is provided. We also mention the convergence rate of our new operators and then we find some approximation results. The rate of convergence is obtained with the help of the Steklov function.
Keywords
References
- [1] Szasz, O., “Generalization of S. Bernstein’s polynomials to the infinite interval”, Jornal of Research of the National Bueau Standards, 45(3): 239–245, (1950).
- [2] Baskakov, V. A., “An instance of a sequence of linear positive operators in the space of continuous functions”, Doklady Akademii Nauk SSSR, 113(2): 249-251, (1957).
- [3] Prasad, G., Agrawal, P.N., and Kasana, H.S., “Approximation of functions on [0,∞) by a new sequence of modified Szász operators”, Mathematical Forum, 6(2): 1–11, (1983).
- [4] Jakimovski, A. and Leviatan, D., “Generalized Szász operators for the approximation in the infinite interval”, Mathematica (Cluj), 11(34): 97–103, (1969).
- [5] Ismail, MEH., “On a generalization of Szász operators”, Mathematica (Cluj), 39(2): 259–267, (1974).
- [6] Jeelani, M.B., and Alnahdi, A.S., “Approximation by Operators for the Sheffer–Appell Polynomials”, Symmetry, 14(12): 2672, (2022).
- [7] Cai, QB., Cekim, B., and Icoz, G., “Gamma generalization operators involving analytic functions”, Mathematics, 9(13): 1547, (2021).
- [8] Gupta, P., Acu, A.M., and Agrawal, P.N., “Jakimovski– Leviatan operators of Kantorovich type involving multiple Appell polynomials”, Georgian Mathematical Journal, 28(1): 73–82, (2021).
Details
Primary Language
English
Subjects
Approximation Theory and Asymptotic Methods
Journal Section
Research Article
Early Pub Date
April 19, 2024
Publication Date
December 1, 2024
Submission Date
November 16, 2023
Acceptance Date
March 18, 2024
Published in Issue
Year 2024 Volume: 37 Number: 4
APA
Kanat, K., Sofyalıoğlu, M., & Karadaş, V. (2024). A Generalization of Szász-Baskakov Operators by using the Appell Polynomials of Class A^(2). Gazi University Journal of Science, 37(4), 1918-1926. https://doi.org/10.35378/gujs.1391889
AMA
1.Kanat K, Sofyalıoğlu M, Karadaş V. A Generalization of Szász-Baskakov Operators by using the Appell Polynomials of Class A^(2). Gazi University Journal of Science. 2024;37(4):1918-1926. doi:10.35378/gujs.1391889
Chicago
Kanat, Kadir, Melek Sofyalıoğlu, and Verda Karadaş. 2024. “A Generalization of Szász-Baskakov Operators by Using the Appell Polynomials of Class A^(2)”. Gazi University Journal of Science 37 (4): 1918-26. https://doi.org/10.35378/gujs.1391889.
EndNote
Kanat K, Sofyalıoğlu M, Karadaş V (December 1, 2024) A Generalization of Szász-Baskakov Operators by using the Appell Polynomials of Class A^(2). Gazi University Journal of Science 37 4 1918–1926.
IEEE
[1]K. Kanat, M. Sofyalıoğlu, and V. Karadaş, “A Generalization of Szász-Baskakov Operators by using the Appell Polynomials of Class A^(2)”, Gazi University Journal of Science, vol. 37, no. 4, pp. 1918–1926, Dec. 2024, doi: 10.35378/gujs.1391889.
ISNAD
Kanat, Kadir - Sofyalıoğlu, Melek - Karadaş, Verda. “A Generalization of Szász-Baskakov Operators by Using the Appell Polynomials of Class A^(2)”. Gazi University Journal of Science 37/4 (December 1, 2024): 1918-1926. https://doi.org/10.35378/gujs.1391889.
JAMA
1.Kanat K, Sofyalıoğlu M, Karadaş V. A Generalization of Szász-Baskakov Operators by using the Appell Polynomials of Class A^(2). Gazi University Journal of Science. 2024;37:1918–1926.
MLA
Kanat, Kadir, et al. “A Generalization of Szász-Baskakov Operators by Using the Appell Polynomials of Class A^(2)”. Gazi University Journal of Science, vol. 37, no. 4, Dec. 2024, pp. 1918-26, doi:10.35378/gujs.1391889.
Vancouver
1.Kadir Kanat, Melek Sofyalıoğlu, Verda Karadaş. A Generalization of Szász-Baskakov Operators by using the Appell Polynomials of Class A^(2). Gazi University Journal of Science. 2024 Dec. 1;37(4):1918-26. doi:10.35378/gujs.1391889
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