TY  - JOUR
T1  - Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials
TT  - Charlier Polinomlarıyla İlişkili Kantorovich Tipi Operatörler Sınıfının Yaklaşım Özellikleri
AU  - Menekşe Yılmaz, Mine
AU  - Gezer, Kerem
PY  - 2023
DA  - August
DO  - 10.53433/yyufbed.1187512
JF  - Yüzüncü Yıl Üniversitesi Fen Bilimleri Enstitüsü Dergisi
JO  - YYU JINAS
PB  - Van Yuzuncu Yıl University
WT  - DergiPark
SN  - 1300-5413
SP  - 383
EP  - 393
VL  - 28
IS  - 2
LA  - en
AB  - 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.
KW  - Charlier Polynomials
KW  - Kantorovich type operators
KW  - positive operators
KW  - Voronovskaja type theorem
N2  - 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.
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UR  - https://doi.org/10.53433/yyufbed.1187512
L1  - https://dergipark.org.tr/en/download/article-file/2701975
ER  -