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Journals / Contemporary Analysis and Applied Mathematics / 2015 / Cilt: 3 - Sayı: 1

Dört boyutlu toplama metodu ve yeni çeşit toplama metodu ikilileri

Four dimensional dual and dual of the new sort summability methods

Medine YEŞİLKAYAGİL
Feyzi BAŞAR
Pages
13–29
Publication Date
2022-10-11
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

A1 62 (1) (2013) 33 43].

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present paper, we give dual summability methods for double sequences following Ba¸sar [F.
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Key Findings & Data:Ba¸sar, Summability Theory and Its Applications, Bentham Science Publishers, e-books, Monographs, ˙Istanbul, 2012] and the dual summability methods of the new sort for double sequences following Altay and Ba¸sar [B.
💡
Conclusion & Impact:A1 62 (1) (2013) 33 43].
🔬Design:Research Article
📍Scope:2012 Verileri
⚙️Variables:Domain Parameters

Abstract

In the present paper, we give dual summability methods for double sequences following Ba¸sar [F. Ba¸sar, Summability Theory and Its Applications, Bentham Science Publishers, e-books, Monographs, ˙Istanbul, 2012] and the dual summability methods of the new sort for double sequences following Altay and Ba¸sar [B. Altay, F. Ba¸sar, Some paranormed Riesz sequence spaces of non-absolute type, Southeast Asian Bull. Math. 30 (5) (2006) 591 608]. Finally, we give multidimensional analogues of the results due to Ye¸silkayagil and Ba¸sar [M. Ye¸silkayagil, F. Ba¸sar, Composite dual summability methods of the new sort, Commun. Fac. Sci. Univ. Ank. Ser. A1 62 (1) (2013) 33 43].

Özet

Bu çalışmada, Başar [F. Başar, Summability Theory and Its Applications, Bentham Science Publishers, e-books, Monographs, İstanbul, 2012]yi takip ederek çift diziler için toplama metodunu ve Altay ve Başar [B. Altay, F. Başar, Some paranormed Riesz sequence spaces of non-absolute type, Southeast Asian Bull. Math. 30 (5) (2006) 591 608]yi takip ederek de yeni çeşit toplama metodu ikilileri tanıtılmaktadır. Çalışmanın sonunda, Yeşilkayagil ve Başarın [M. Yeşilkayagil, F. Başar, Composite dual summability methods of the new sort, Commun. Fac. Sci. Univ. Ank. Ser. A1 62 (1) (2013) 33 43] kaynakta verdikleri sonuçların çift diziler için karşılıkları verilmektedir.

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Cite This Article

YEŞİLKAYAGİL, M., BAŞAR, F. (2022). Dört boyutlu toplama metodu ve yeni çeşit toplama metodu ikilileri. Contemporary Analysis and Applied Mathematics, Cilt: 3 - Sayı: 1, 13–29. https://ajindex.com/articles/476456

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References (13)

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