ON p; q -ANALOG OF STANCU-BETA OPERATORS AND THEIR APPROXIMATION PROPERTIES

Temel Bulgular & Veri:We study approximation properties of these operators based on the Korovkin's approximation theorem and also study some direct theorems.

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Sonuç & Katkı:Also, we study the Voronovskaja type estimate for these operators.

🔬Tür:Araştırma Makalesi

📍Kapsam:Genişletilmiş Akademik Örneklem

⚙️Değişkenler:q -calculus · Stancu-Beta operators · modulus of continuity

Abstract

In this paper we introduce the p; q -analogue of the Stancu-Beta operators and call them as the p; q -Stancu-Beta operators. We study approximation properties of these operators based on the Korovkin's approximation theorem and also study some direct theorems. Also, we study the Voronovskaja type estimate for these operators.

Anahtar kelimeler

q -calculus Stancu-Beta operators modulus of continuity positive linear operators Korovkin type approximation theorem Lipschitz class of functions.

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Bu Makaleye Atıf Yap

MURSALEEN, M., KHAN, T. (2018). ON p; q -ANALOG OF STANCU-BETA OPERATORS AND THEIR APPROXIMATION PROPERTIES. TWMS Journal of Applied and Engineering Mathematics, Cilt: 8 - Sayı: 1, 136–143. https://ajindex.com/articles/846412

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Kaynakça (14)

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