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Journals / Fundamentals of Contemporary Mathematical Sciences / 2026 / Volume: 7 Issue: 1

On Some Generalizations of Cholodowsky Type Szasz-Mirakjan-Bernstein Operators

Tuncay Tunç(MERSIN UNIVERSITY)0000-0002-3061-7197
Burcu Fedakar(FACULTY OF ARTS AND SCIENCES)0000-0002-7767-1422
Pages
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Publication Date
2026-01-31
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Also, Voronovskaja-type theorems were obtained.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we introduced two different Stancu-type generalizations of Chlodovsky-type Szasz-Mirakyan-Bernstein operators.
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Key Findings & Data:We investigated the approximation properties and obtained the rate of convergence by means of modulus of continuity.
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Conclusion & Impact:Also, Voronovskaja-type theorems were obtained.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Positive and Linear operators · Chlodovsky type of Szasz-Mirakyan-Bernstein operator · Korovkin

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.

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Cite This Article

Tunç, T., Fedakar, B. (2026). On Some Generalizations of Cholodowsky Type Szasz-Mirakjan-Bernstein Operators. Fundamentals of Contemporary Mathematical Sciences, Volume: 7 Issue: 1. https://doi.org/10.54974/fcmathsci.1683054

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