Parametric Extension of a Certain Family of Summation-Integral Type Operators

yuksel, ismet; Odabaşı, Nadire Fulda

doi:10.17776/csj.1173496

Parametric Extension of a Certain Family of Summation-Integral Type Operators

Nadire Fulda ODABAŞI, (Gazi Üniversitesi, Fen Fakültesi, Matematik Bölümü, Ankara, Türkiye)

İsmet YÜKSEL (Gazi Üniversitesi, Fen Fakültesi, Matematik Bölümü, Ankara, Türkiye)

Cumhuriyet Science Journal

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Yıl: 2023 Cilt: 44 Sayı: 2 Sayfa Aralığı: 315 - 327 Metin Dili: İngilizce DOI: 10.17776/csj.1173496 İndeks Tarihi: 12-07-2023

Parametric Extension of a Certain Family of Summation-Integral Type Operators

Öz:

In this paper, we introduce a parametric extension of a certain family of summation-integral type operators on the interval [0,∞). Firstly, we obtain test functions and central moments. Secondly, we investigate weighted approximation properties for these operators and estimate the rate of convergence. Then, we give a pointwise approximation for the Peetre K-functional and functions of the Lipschitz class. Moreover, we demonstrate Voronovskaja type theorem for the operators. Finally, the convergence properties of operators to some functions are illustrated by graphics.

Anahtar Kelime: rate of convergence weighted spaces weighted modulus of continuity

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	Odabaşı N, yuksel i (2023). Parametric Extension of a Certain Family of Summation-Integral Type Operators. , 315 - 327. 10.17776/csj.1173496
Chicago	Odabaşı Nadire Fulda,yuksel ismet Parametric Extension of a Certain Family of Summation-Integral Type Operators. (2023): 315 - 327. 10.17776/csj.1173496
MLA	Odabaşı Nadire Fulda,yuksel ismet Parametric Extension of a Certain Family of Summation-Integral Type Operators. , 2023, ss.315 - 327. 10.17776/csj.1173496
AMA	Odabaşı N,yuksel i Parametric Extension of a Certain Family of Summation-Integral Type Operators. . 2023; 315 - 327. 10.17776/csj.1173496
Vancouver	Odabaşı N,yuksel i Parametric Extension of a Certain Family of Summation-Integral Type Operators. . 2023; 315 - 327. 10.17776/csj.1173496
IEEE	Odabaşı N,yuksel i "Parametric Extension of a Certain Family of Summation-Integral Type Operators." , ss.315 - 327, 2023. 10.17776/csj.1173496
ISNAD	Odabaşı, Nadire Fulda - yuksel, ismet. "Parametric Extension of a Certain Family of Summation-Integral Type Operators". (2023), 315-327. https://doi.org/10.17776/csj.1173496

APA	Odabaşı N, yuksel i (2023). Parametric Extension of a Certain Family of Summation-Integral Type Operators. Cumhuriyet Science Journal, 44(2), 315 - 327. 10.17776/csj.1173496
Chicago	Odabaşı Nadire Fulda,yuksel ismet Parametric Extension of a Certain Family of Summation-Integral Type Operators. Cumhuriyet Science Journal 44, no.2 (2023): 315 - 327. 10.17776/csj.1173496
MLA	Odabaşı Nadire Fulda,yuksel ismet Parametric Extension of a Certain Family of Summation-Integral Type Operators. Cumhuriyet Science Journal, vol.44, no.2, 2023, ss.315 - 327. 10.17776/csj.1173496
AMA	Odabaşı N,yuksel i Parametric Extension of a Certain Family of Summation-Integral Type Operators. Cumhuriyet Science Journal. 2023; 44(2): 315 - 327. 10.17776/csj.1173496
Vancouver	Odabaşı N,yuksel i Parametric Extension of a Certain Family of Summation-Integral Type Operators. Cumhuriyet Science Journal. 2023; 44(2): 315 - 327. 10.17776/csj.1173496
IEEE	Odabaşı N,yuksel i "Parametric Extension of a Certain Family of Summation-Integral Type Operators." Cumhuriyet Science Journal, 44, ss.315 - 327, 2023. 10.17776/csj.1173496
ISNAD	Odabaşı, Nadire Fulda - yuksel, ismet. "Parametric Extension of a Certain Family of Summation-Integral Type Operators". Cumhuriyet Science Journal 44/2 (2023), 315-327. https://doi.org/10.17776/csj.1173496