On Some Generalizations of Cholodowsky Type Szasz-Mirakjan-Bernstein Operators
Abstract
In this paper, we introduced two different Stancu-type generalizations of Chlodovsky-type Szasz-Mirakyan-Bernstein operators. We gave a general moment formula for these operators. We investigated the approximation properties and obtained the rate of convergence by means of modulus of continuity. Also, Voronovskaja-type theorems were obtained.
Keywords
Ethical Statement
The authors declare that the materials and methods used in their study do not require ethical committee and/or legal special permission.
References
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Details
Primary Language
English
Subjects
Approximation Theory and Asymptotic Methods
Journal Section
Research Article
Publication Date
January 31, 2026
Submission Date
April 24, 2025
Acceptance Date
December 4, 2025
Published in Issue
Year 2026 Volume: 7 Number: 1
APA
Tunç, T., & Fedakar, B. (2026). On Some Generalizations of Cholodowsky Type Szasz-Mirakjan-Bernstein Operators. Fundamentals of Contemporary Mathematical Sciences, 7(1), 53-69. https://doi.org/10.54974/fcmathsci.1683054
AMA
1.Tunç T, Fedakar B. On Some Generalizations of Cholodowsky Type Szasz-Mirakjan-Bernstein Operators. FCMS. 2026;7(1):53-69. doi:10.54974/fcmathsci.1683054
Chicago
Tunç, Tuncay, and Burcu Fedakar. 2026. “On Some Generalizations of Cholodowsky Type Szasz-Mirakjan-Bernstein Operators”. Fundamentals of Contemporary Mathematical Sciences 7 (1): 53-69. https://doi.org/10.54974/fcmathsci.1683054.
EndNote
Tunç T, Fedakar B (January 1, 2026) On Some Generalizations of Cholodowsky Type Szasz-Mirakjan-Bernstein Operators. Fundamentals of Contemporary Mathematical Sciences 7 1 53–69.
IEEE
[1]T. Tunç and B. Fedakar, “On Some Generalizations of Cholodowsky Type Szasz-Mirakjan-Bernstein Operators”, FCMS, vol. 7, no. 1, pp. 53–69, Jan. 2026, doi: 10.54974/fcmathsci.1683054.
ISNAD
Tunç, Tuncay - Fedakar, Burcu. “On Some Generalizations of Cholodowsky Type Szasz-Mirakjan-Bernstein Operators”. Fundamentals of Contemporary Mathematical Sciences 7/1 (January 1, 2026): 53-69. https://doi.org/10.54974/fcmathsci.1683054.
JAMA
1.Tunç T, Fedakar B. On Some Generalizations of Cholodowsky Type Szasz-Mirakjan-Bernstein Operators. FCMS. 2026;7:53–69.
MLA
Tunç, Tuncay, and Burcu Fedakar. “On Some Generalizations of Cholodowsky Type Szasz-Mirakjan-Bernstein Operators”. Fundamentals of Contemporary Mathematical Sciences, vol. 7, no. 1, Jan. 2026, pp. 53-69, doi:10.54974/fcmathsci.1683054.
Vancouver
1.Tuncay Tunç, Burcu Fedakar. On Some Generalizations of Cholodowsky Type Szasz-Mirakjan-Bernstein Operators. FCMS. 2026 Jan. 1;7(1):53-69. doi:10.54974/fcmathsci.1683054