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Dergiler / Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi / 2026 / Cilt: 10 Sayı: 1

Bazı İterasyon Yöntemleri için Cesàro Ortalamasının Kuvvetli ve Zayıf Yakınsaklığı

Strong and Weak Convergence of Cesàro Mean for Some Iteration Methods

Lale Cona(Gümüşhane Üniversitesi Mühendislik Fakültesi Matematik Bölümü)0000-0002-2744-1960
Çiğdem Kaygusuz(GÜMÜŞHANE ÜNİVERSİTESİ)0000-0003-1420-7443
Sayfa
236–253
Yayın Tarihi
2023-05-31
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Yapay Zeka Hızlı Bakış & Çıkarımlar

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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Son olarak asimptotik genişlemeyen dönüşümler için Halpren iterasyonu ile Cesàro ortalamasının güçlü yakınsaklığı üzerine yapılan bir çalışma irdelenmiştir.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Bu makalede, ilk olarak toplanabilme teknikleri ve iterasyon yöntemleri araştırılmıştır.
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Temel Bulgular & Veri:Ayrıca, bazı iterasyon yöntemleri için Cesàro anlamında toplanabilme tekniğine bağlı olarak ergodik teori üzerine yapılan çalışmalar incelenmiştir.
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Sonuç & Katkı:Son olarak asimptotik genişlemeyen dönüşümler için Halpren iterasyonu ile Cesàro ortalamasının güçlü yakınsaklığı üzerine yapılan bir çalışma irdelenmiştir.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Cesàro Toplanabilme · Ergodik Teori · İterasyon Yöntemleri

Özet

Bu makalede, ilk olarak toplanabilme teknikleri ve iterasyon yöntemleri araştırılmıştır. Ayrıca, bazı iterasyon yöntemleri için Cesàro anlamında toplanabilme tekniğine bağlı olarak ergodik teori üzerine yapılan çalışmalar incelenmiştir. Son olarak asimptotik genişlemeyen dönüşümler için Halpren iterasyonu ile Cesàro ortalamasının güçlü yakınsaklığı üzerine yapılan bir çalışma irdelenmiştir.

Abstract

In this article, firstly, summability techniques and iteration methods are investigated. In addition, studies on ergodic theory which are related to the Cesàro mean summability technique are examined for some iteration methods. Finally, a study on the strong convergence the Cesàro mean with the Halpren iteration for asymptotic non-expanding transformations is discussed.

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Bu Makaleye Atıf Yap

Cona, L., Kaygusuz, Ç. (2023). Bazı İterasyon Yöntemleri için Cesàro Ortalamasının Kuvvetli ve Zayıf Yakınsaklığı. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, Cilt: 10 Sayı: 1, 236–253. https://doi.org/10.35193/bseufbd.1190411

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