Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials
Yıl: 2023 Cilt: 28 Sayı: 2 Sayfa Aralığı: 383 - 393 Metin Dili: İngilizce DOI: 10.53433/yyufbed.1187512 İndeks Tarihi: 31-08-2023
Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials
Öz: In this paper, we introduce a kind of Charlier polynomial-based Szász-Kantorovich type operator. We begin by using Korovkin's theorem to demonstrate the uniform convergence of these operators. Second, using mathematical techniques like Peetre’s K-functional notion and the common modulus of the operators, we evaluate the order of convergence of the operators. Third, we use the Voronovskaya type approximation theorem to derive an asymptotic formula for the operator we gave. Finally, we give a numerical example using Maple 2022.
Anahtar Kelime: Charlier Polinomlarıyla İlişkili Kantorovich Tipi Operatörler Sınıfının Yaklaşım Özellikleri
Öz: Bu çalışmada, Charlier polinom tabanlı Szász-Kantorovich tipi bir operatör tanıtıyoruz. Bu operatörlerin düzgün yakınsamasını göstermek için Korovkin teoremini kullanarak başlıyoruz. İkinci olarak, Peetre’ ın K-fonksiyonel kavramı ve operatörlerin olağan süreklilik modülü gibi matematiksel teknikleri kullanarak, operatörlerin yakınsama oranını değerlendiriyoruz Üçüncüsü, verdiğimiz operatör için asimptotik bir formül türetmek için Voronovskaya tipi yaklaşım teoremini kullanıyoruz. Son olarak Maple 2022 kullanarak sayısal bir örnek veriyoruz.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | GEZER K, MENEKSE YILMAZ M (2023). Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials. , 383 - 393. 10.53433/yyufbed.1187512 |
| Chicago | GEZER KEREM,MENEKSE YILMAZ MINE Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials. (2023): 383 - 393. 10.53433/yyufbed.1187512 |
| MLA | GEZER KEREM,MENEKSE YILMAZ MINE Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials. , 2023, ss.383 - 393. 10.53433/yyufbed.1187512 |
| AMA | GEZER K,MENEKSE YILMAZ M Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials. . 2023; 383 - 393. 10.53433/yyufbed.1187512 |
| Vancouver | GEZER K,MENEKSE YILMAZ M Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials. . 2023; 383 - 393. 10.53433/yyufbed.1187512 |
| IEEE | GEZER K,MENEKSE YILMAZ M "Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials." , ss.383 - 393, 2023. 10.53433/yyufbed.1187512 |
| ISNAD | GEZER, KEREM - MENEKSE YILMAZ, MINE. "Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials". (2023), 383-393. https://doi.org/10.53433/yyufbed.1187512 |
| APA | GEZER K, MENEKSE YILMAZ M (2023). Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 28(2), 383 - 393. 10.53433/yyufbed.1187512 |
| Chicago | GEZER KEREM,MENEKSE YILMAZ MINE Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 28, no.2 (2023): 383 - 393. 10.53433/yyufbed.1187512 |
| MLA | GEZER KEREM,MENEKSE YILMAZ MINE Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.28, no.2, 2023, ss.383 - 393. 10.53433/yyufbed.1187512 |
| AMA | GEZER K,MENEKSE YILMAZ M Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2023; 28(2): 383 - 393. 10.53433/yyufbed.1187512 |
| Vancouver | GEZER K,MENEKSE YILMAZ M Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials. Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2023; 28(2): 383 - 393. 10.53433/yyufbed.1187512 |
| IEEE | GEZER K,MENEKSE YILMAZ M "Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials." Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 28, ss.383 - 393, 2023. 10.53433/yyufbed.1187512 |
| ISNAD | GEZER, KEREM - MENEKSE YILMAZ, MINE. "Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials". Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi 28/2 (2023), 383-393. https://doi.org/10.53433/yyufbed.1187512 |
