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Dergiler / 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
Sayfa
151–158
Yayın Tarihi
2022-11-04
DOI
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We also obtain a Voronovskaya-type theorem for these operators.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we introduce a modification of the Szász-Mirakjan-Kantorovich operators, which preserve the linear functions.
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Temel Bulgular & Veri:This type of operator modification enables better error estimation on the interval [1/2,+\infty) than the classical Szász-Mirakjan-Kantorovich operators.
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Sonuç & Katkı:We also obtain a Voronovskaya-type theorem for these operators.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Szász-Mirakjan operators · Szász-Mirakjan-Kantorovich operators · the Korovkin-type approximation theorem

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.

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.

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Bu Makaleye Atıf Yap

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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Kaynakça (12)

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  9. Ozarslan, M.A., Duman, O.: MKZ type operators providing a better estimation on [1 ¨ /2, 1). Canad. Math. Bull. 50, 434-439 (2007)
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