On the Paranormed Space of Bounded Variation Double Sequences

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Atıf İçin Kopyala

YEŞİLKAYAGİL M., Basar F.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, cilt.43, sa.3, ss.2701-2712, 2020 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 43 Sayı: 3
• Basım Tarihi: 2020
• Doi Numarası: 10.1007/s40840-019-00829-2
• Dergi Adı: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
• Sayfa Sayıları: ss.2701-2712
• İnönü Üniversitesi Adresli: Evet

Özet

In this study, as the domain of four-dimensional backward difference matrix in the space Lu(t), we introduce the complete paranormed space BV(t) of bounded variation double sequences and examine some properties of that space. Also, we determine the gamma-dual and beta(theta)-dual of the space BV(t). Finally, we characterize the classes (BV(t):Mu), (BV(t):C theta) and (Lu(t):mu) with mu is an element of{BS,CS theta,Mu(Delta),C theta(Delta)}, where Mu(Delta) and C theta(Delta) denote the spaces of all double sequences whose Delta-transforms are in the spaces Mu and C theta, respectively.