Furthermore, we examine some properties of the double sequence spaces Mfu(t), Cep(t), Ce0p(t), Cer(t), Cebp(t) and Leu(t) .
📌 3 Key Takeaways
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Objective & Hypothesis:In this study, we define the paranormed sequence spaces Mfu(t), Cep(t), Ce0p(t), Cer(t), Cebp(t) and Leu(t) of double sequences whose double Ces`aro mean transforms are bounded, convergent in the Pringsheim s sense, null in the Pringsheim s sense, both convergent in the Pringsheim s sense and bounded, regularly convergent and absolutely summable, respectively.
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Key Findings & Data:In this study, we define the paranormed sequence spaces Mfu(t), Cep(t), Ce0p(t), Cer(t), Cebp(t) and Leu(t) of double sequences whose double Ces`aro mean transforms are bounded, convergent in the Pringsheim s sense, null in the Pringsheim s sense, both convergent in the Pringsheim s sense and bounded, regularly convergent and absolutely summable, respectively.
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Conclusion & Impact:Furthermore, we examine some properties of the double sequence spaces Mfu(t), Cep(t), Ce0p(t), Cer(t), Cebp(t) and Leu(t) .
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this study, we define the paranormed sequence spaces Mfu(t), Cep(t), Ce0p(t), Cer(t), Cebp(t) and Leu(t) of double sequences whose double Ces`aro mean transforms are bounded, convergent in the Pringsheim s sense, null in the Pringsheim s sense, both convergent in the Pringsheim s sense and bounded, regularly convergent and absolutely summable, respectively. Furthermore, we examine some properties of the double sequence spaces Mfu(t), Cep(t), Ce0p(t), Cer(t), Cebp(t) and Leu(t) .
Özet
Bu çalışmada; sırasıyla double Ces`aro dönüşümleri sınırlı, Pringsheim anlamında yakınsak, Pringsheim anlamında sıfıra yakınsak, hem Pringsheim anlamında yakınsak hem de sınırlı, regüler yakınsak ve mutlak toplanabilir olan dizilerin Mfu(t), Cep(t), Ce0p(t), Cebp(t), Cer(t) ve Leu(t) paranormlu dizi uzaylarını tanımlıyoruz. Ayrıca, Mfu(t), Cep(t), Ce0p(t), Cer(t), Cebp(t) ve Leu(t) double dizi uzaylarının bazı özelliklerini inceliyoruz.
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Cite This Article
DEMİRİZ, S., DUYAR, O. (2022). Ces`aro matrisinin bazı paranormlu çift dizi uzaylarındaki etki alanı. Contemporary Analysis and Applied Mathematics, Cilt: 3 - Sayı: 2, 247–262. https://ajindex.com/articles/476459
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