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Journals / Turkish Journal of Mathematics / 2009 / Cilt: 33 - Sayı: 2

Modified Szász-Mirakjan-Kantorovich Operators Preserving Linear Functions

Oktay DUMAN
Biancamaria Della VECCHİA
Mehmet Ali ÖZARSLAN
Pages
151–158
Publication Date
2022-11-04
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We also obtain a Voronovskaya-type theorem for these operators.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we introduce a modification of the Szász-Mirakjan-Kantorovich operators, which preserve the linear functions.
📊
Key Findings & Data:This type of operator modification enables better error estimation on the interval [1/2,+\infty) than the classical Szász-Mirakjan-Kantorovich operators.
💡
Conclusion & Impact:We also obtain a Voronovskaya-type theorem for these operators.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Szász-Mirakjan operators · Szász-Mirakjan-Kantorovich operators · the Korovkin-type approximation theorem

Abstract

In this paper, we introduce a modification of the Szász-Mirakjan-Kantorovich operators, which preserve the linear functions. This type of operator modification enables better error estimation on the interval [1/2,+\infty) than the classical Szász-Mirakjan-Kantorovich operators. We also obtain a Voronovskaya-type theorem for these operators.

Özet

In this paper, we introduce a modification of the Szász-Mirakjan-Kantorovich operators, which preserve the linear functions. This type of operator modification enables better error estimation on the interval [1/2,+\infty) than the classical Szász-Mirakjan-Kantorovich operators. We also obtain a Voronovskaya-type theorem for these operators.

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Cite This Article

DUMAN, O., VECCHİA, B. D., ÖZARSLAN, M. A. (2022). Modified Szász-Mirakjan-Kantorovich Operators Preserving Linear Functions. Turkish Journal of Mathematics, Cilt: 33 - Sayı: 2, 151–158. https://ajindex.com/articles/608548

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