Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2021 / Cilt: 11 - Sayı: 2

On The Convergence Properties of Kantorovich-Szasz Type Operators Involving Tangent Polynomials

Tanjant Polinomlarını İçeren Kantorovich-Szász Tipli Operatörlerin Yakınsama Özellikleri Üzerine

Pages
244–252
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

Also we obtain the rate of convergence by using modulus of convergence and Peteer’s K-functional.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we construct a variant of the Kantorovich Szazs type operators involving the Tangent polynomials and estimate convergence properties of these operators by using Korovkin theorem.
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Key Findings & Data:In this paper, we construct a variant of the Kantorovich Szazs type operators involving the Tangent polynomials and estimate convergence properties of these operators by using Korovkin theorem.
💡
Conclusion & Impact:Also we obtain the rate of convergence by using modulus of convergence and Peteer’s K-functional.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we construct a variant of the Kantorovich Szazs type operators involving the Tangent polynomials and estimate convergence properties of these operators by using Korovkin theorem. Also we obtain the rate of convergence by using modulus of convergence and Peteer’s K-functional.

Özet

Bu çalışmada, Tanjant polinomlarını içeren Kantorovich-Szász tipli operatörlerin bir varyantı oluşturulup, Korovkin teoremi kullanılarak bu operatörün yakınsaklık özellikleri tahmin edilmiştir. Ayrıca Peetre’s K- fonksiyoneli ve süreklilik modülü kullanılarak yakınsaklık hızı elde edilmiştir.

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Cite This Article

AGYUZ, E. (2022). On The Convergence Properties of Kantorovich-Szasz Type Operators Involving Tangent Polynomials. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 11 - Sayı: 2, 244–252. https://ajindex.com/articles/428407

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References (13)

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