Önder Şentürk, Zerrin

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https://gcris.yasar.edu.tr/handle/123456789/11905
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Dr.Öğr.Üyesi
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01.01.02.02. Matematik Bölümü
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Current Staff
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0000-0002-1054-9692
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56523030200
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WoS Researcher ID
AAG-8364-2021
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Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi1
Journal of Nonlinear and Convex Analysis1
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  • Thumbnail Image
    Article
    THE NOVEL TAUBERIAN CONDITIONS ASSOCIATED WITH THE (N-p-q) SUMMABILITY OF DOUBLE SEQUENCES
    (YOKOHAMA PUBL, 2024) Zerrin Onder; Ekrem Savas; Ibrahim Canak; Onder, Zerrin; Canak, Ibrahim; Savas, Ekrem
    . In this paper our primary objective is to provide a fresh perspective on the relationship between the (N (p q)) method which is a product of relevant one-dimensional summability methods and P-convergence for double sequences. To accomplish this objective we establish certain Tauberian conditions that control the behavior of a double sequence in terms of both O-L-oscillation and 0oscillation in certain senses building a bridge between (N (p q)) summability and P-convergence while imposing certain restrictions on the weight sequences. As special circumstances of our findings we demonstrate that Landau-type O-L condition with respect to (Pm) and (CM as well as Hardy-type 0 condition with respect to (P-m) and (Q(n)) serve as Tauberian conditions for (N (p q)) summability under particular additional conditions. Consequently these results encompass all classical Tauberian theorems including conditions such as slow decrease or slow oscillation in certain senses.
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    Article
    Sıralı uzaylarda logaritmik toplanabilme için bir Tauber tipi teorem
    (2025) Zerrin Önder; Önder, Zerrin
    Bu çalışma daha önce sıralı uzaylardaki tek katlı dizilerin Cesàro ve ağırlıklı ortalama toplanabilirlik yöntemleri için oluşturulmuş Tauber tipi teoremleri iki katlı diziler için logaritmik toplanabilirlik yöntemine diğer adıyla (ℓ 1 1) yöntemine genişletmeyi amaçlar. Bu amaçla çeşitli anlamlarda logaritmik toplanabilirliğe göre iki katlı bir (s_mn ) dizinin O_L-salınım davranışını ele alan birkaç Tauber tipi koşul sunuyoruz. Bu koşullar sıralı uzaylarda dizinin (ℓ 1 1) (ℓ 1 0) ve (ℓ 0 1) toplanabilirliğinden P-yakınsaklığına geçişine olanak sağlar.