Dergiler / Turkish Journal of Mathematics / 2009 / Cilt: 33 - Sayı: 2

Equi-Statistical Extension of the Korovkin Type Approximation Theorem

Sayfa
159–168
Yayın Tarihi
2022-11-05
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Then, we construct examples such that our new approximation result works but its classical and statistical cases do not work.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper using equi-statistical convergence, which is stronger than the usual uniform convergence and statistical uniform convergence, we obtain a general Korovkin type theorem.
📊
Temel Bulgular & Veri:In this paper using equi-statistical convergence, which is stronger than the usual uniform convergence and statistical uniform convergence, we obtain a general Korovkin type theorem.
💡
Sonuç & Katkı:Then, we construct examples such that our new approximation result works but its classical and statistical cases do not work.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Equi-statistical convergence · positive linear operator · Korovkin type theorem

Özet

In this paper using equi-statistical convergence, which is stronger than the usual uniform convergence and statistical uniform convergence, we obtain a general Korovkin type theorem. Then, we construct examples such that our new approximation result works but its classical and statistical cases do not work.

Abstract

In this paper using equi-statistical convergence, which is stronger than the usual uniform convergence and statistical uniform convergence, we obtain a general Korovkin type theorem. Then, we construct examples such that our new approximation result works but its classical and statistical cases do not work.

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Bu Makaleye Atıf Yap

DEMİRCİ, K., KARAKUŞ, S. (2022). Equi-Statistical Extension of the Korovkin Type Approximation Theorem. Turkish Journal of Mathematics, Cilt: 33 - Sayı: 2, 159–168. https://ajindex.com/articles/608549

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