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Dergiler / Middle East Journal of Science / 2024 / Volume: 10 Issue: 2

NEW GENERALIZED DIFFERENCE SEQUENCE SPACES AND THEIR KÖTHE-TOEPLITZ DUALS

Gülcan Atıcı Turan(MUNZUR ÜNİVERSİTESİ)0000-0002-1009-6072
Sayfa
—
Yayın Tarihi
2024-12-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Furthermore we give some topological properties and compute their Köthe-Toeplitz duals.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We will define the sequence spaces c_0 (u,∆_v^m )_p, c(u,∆_v^m )_p and l_∞ (u,∆_v^m )_p in this article.
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Temel Bulgular & Veri:We will define the sequence spaces c_0 (u,∆_v^m )_p, c(u,∆_v^m )_p and l_∞ (u,∆_v^m )_p in this article.
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Sonuç & Katkı:Furthermore we give some topological properties and compute their Köthe-Toeplitz duals.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Difference sequence spaces · β- and γ- dual

Abstract

We will define the sequence spaces c_0 (u,∆_v^m )_p, c(u,∆_v^m )_p and l_∞ (u,∆_v^m )_p in this article. Furthermore we give some topological properties and compute their Köthe-Toeplitz duals.

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Bu Makaleye Atıf Yap

Turan, G. A. (2024). NEW GENERALIZED DIFFERENCE SEQUENCE SPACES AND THEIR KÖTHE-TOEPLITZ DUALS. Middle East Journal of Science, Volume: 10 Issue: 2. https://doi.org/10.51477/mejs.1588355

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Kaynakça (12)

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  3. Et, M., Esi, A., “On Köthe-Toeplitz Duals of Generalized Difference Sequence Spaces”, Bull Malaysian Math. Sc. Soc., 23(2), 1-8, 2000.
  4. Bektaş, Ç. A., Et, M., Çolak, R., “Generalized Difference Sequence Spaces and Their Dual Spaces”, J. Math. Anal. Appl., 292, 423-432, 2004.
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  6. Malkowsky, E., “A Note on the Köthe-Toeplitz Duals of Generalized Sets of Bounded and Convergent Difference Sequences”, J. Anal., 4, 81-91, 1996.
  7. Asma, Ç., Çolak, R., “On the Köthe-Toeplitz Duals of Some Generalized Sets of Difference Sequences”, Dermonstratio Math., 4, 797-803, 2000.
  8. Bektaş, Ç. A., “On Some New Generalized Sequence Spaces”, J. Math. Anal. Appl., 277, 681-688, 2003.
  9. Barlak D., Bektaş Ç.A., “Duals of generalized Orlicz Hilbert sequence spaces and matrix transformations”, Filomat, 31(27), 9089-9102, 2023.
  10. Bektaş, Ç. A., “On Some Generalized Difference Sequence Spaces and Köthe Toeplitz Duals”, IeJEMTA, 7, 61-72, 2009.
  11. Bektaş, Ç. A., “Absolute and Ordinary Köthe-Toeplitz Duals of Some Generalized Sets of Difference Sequences”, Hokkaido Mathematical Journal, 33(1), 207-214, 2004.
  12. Asma, Ç., Çolak, R., “On the Köthe-Toeplitz Duals of Some Generalized Sets of Difference Sequences”, Dermonstratio Math., 4, 797-803, 2000.