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Dergiler / Universal Journal of Mathematics and Applications / 2022 / Cilt: 5 - Sayı: 4

Periodic Korovkin Theorem via $P_{p}^{2}$-Statistical $\mathcal{A}$-Summation Process

Sevda YILDIZ
Fadime DİRİK
Kamil DEMİRCİ
Sayfa
156–162
Yayın Tarihi
2022-12-29
DOI
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Additionally, we research the rate of convergence of positive linear operators defined on this space.

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Amaç & Hipotez:In the current research, we investigate and establish Korovkin-type approximation theorems for linear operators defined on the space of all $% 2\pi $-periodic and real valued continuous functions on $% %TCIMACRO{\U{211d} }% %BeginExpansion \mathbb{R} %EndExpansion ^{2}$ by means of $\mathcal{A}$-summation process via statistical convergence with respect to power series method.
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Temel Bulgular & Veri:We demonstrate with an example how our theory is more strong than previously studied.
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Sonuç & Katkı:Additionally, we research the rate of convergence of positive linear operators defined on this space.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Korovkin theorem · periodic functions · power series method

Abstract

In the current research, we investigate and establish Korovkin-type approximation theorems for linear operators defined on the space of all $% 2\pi $-periodic and real valued continuous functions on $% %TCIMACRO{\U{211d} }% %BeginExpansion \mathbb{R} %EndExpansion ^{2}$ by means of $\mathcal{A}$-summation process via statistical convergence with respect to power series method. We demonstrate with an example how our theory is more strong than previously studied. Additionally, we research the rate of convergence of positive linear operators defined on this space.

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Bu Makaleye Atıf Yap

YILDIZ, S., DİRİK, F., DEMİRCİ, K. (2022). Periodic Korovkin Theorem via $P_{p}^{2}$-Statistical $\mathcal{A}$-Summation Process. Universal Journal of Mathematics and Applications, Cilt: 5 - Sayı: 4, 156–162. https://ajindex.com/articles/872288

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Kaynakça (17)

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