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Year 2024, , 144 - 150, 30.12.2024
https://doi.org/10.51477/mejs.1588355

Abstract

References

  • Kızmaz, H., “On Certain Sequence Spaces”, Canad. Math. Bull., 24, 169-176, 1981.
  • Et, M., Çolak, R., “On Some Generalized Difference Sequence Spaces”, Soochow J. Math., 21, 377-386, 1995.
  • Et, M., Esi, A., “On Köthe-Toeplitz Duals of Generalized Difference Sequence Spaces”, Bull Malaysian Math. Sc. Soc., 23(2), 1-8, 2000.
  • Bektaş, Ç. A., Et, M., Çolak, R., “Generalized Difference Sequence Spaces and Their Dual Spaces”, J. Math. Anal. Appl., 292, 423-432, 2004.
  • Et, M., Başarır, M., “On Some New Generalized Difference Sequence Spaces”, Periodica Math. Hungarica, 35(3), 169-175, 1997.
  • Malkowsky, E., “A Note on the Köthe-Toeplitz Duals of Generalized Sets of Bounded and Convergent Difference Sequences”, J. Anal., 4, 81-91, 1996.
  • Asma, Ç., Çolak, R., “On the Köthe-Toeplitz Duals of Some Generalized Sets of Difference Sequences”, Dermonstratio Math., 4 , 797-803, 2000.
  • Bektaş, Ç. A., “On Some New Generalized Sequence Spaces”, J. Math. Anal. Appl., 277, 681-688, 2003.
  • Barlak D., Bektaş Ç.A., “Duals of generalized Orlicz Hilbert sequence spaces and matrix transformations”, Filomat, 31(27), 9089-9102, 2023.
  • Bektaş, Ç. A., “On Some Generalized Difference Sequence Spaces and Köthe Toeplitz Duals”, IeJEMTA, 7, 61-72, 2009.
  • Bektaş, Ç. A., “Absolute and Ordinary Köthe-Toeplitz Duals of Some Generalized Sets of Difference Sequences”, Hokkaido Mathematical Journal, 33(1), 207-214, 2004.

NEW GENERALIZED DIFFERENCE SEQUENCE SPACES AND THEIR KÖTHE-TOEPLITZ DUALS

Year 2024, , 144 - 150, 30.12.2024
https://doi.org/10.51477/mejs.1588355

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.

References

  • Kızmaz, H., “On Certain Sequence Spaces”, Canad. Math. Bull., 24, 169-176, 1981.
  • Et, M., Çolak, R., “On Some Generalized Difference Sequence Spaces”, Soochow J. Math., 21, 377-386, 1995.
  • Et, M., Esi, A., “On Köthe-Toeplitz Duals of Generalized Difference Sequence Spaces”, Bull Malaysian Math. Sc. Soc., 23(2), 1-8, 2000.
  • Bektaş, Ç. A., Et, M., Çolak, R., “Generalized Difference Sequence Spaces and Their Dual Spaces”, J. Math. Anal. Appl., 292, 423-432, 2004.
  • Et, M., Başarır, M., “On Some New Generalized Difference Sequence Spaces”, Periodica Math. Hungarica, 35(3), 169-175, 1997.
  • Malkowsky, E., “A Note on the Köthe-Toeplitz Duals of Generalized Sets of Bounded and Convergent Difference Sequences”, J. Anal., 4, 81-91, 1996.
  • Asma, Ç., Çolak, R., “On the Köthe-Toeplitz Duals of Some Generalized Sets of Difference Sequences”, Dermonstratio Math., 4 , 797-803, 2000.
  • Bektaş, Ç. A., “On Some New Generalized Sequence Spaces”, J. Math. Anal. Appl., 277, 681-688, 2003.
  • Barlak D., Bektaş Ç.A., “Duals of generalized Orlicz Hilbert sequence spaces and matrix transformations”, Filomat, 31(27), 9089-9102, 2023.
  • Bektaş, Ç. A., “On Some Generalized Difference Sequence Spaces and Köthe Toeplitz Duals”, IeJEMTA, 7, 61-72, 2009.
  • Bektaş, Ç. A., “Absolute and Ordinary Köthe-Toeplitz Duals of Some Generalized Sets of Difference Sequences”, Hokkaido Mathematical Journal, 33(1), 207-214, 2004.
There are 11 citations in total.

Details

Primary Language English
Subjects Mathematical Methods and Special Functions
Journal Section Article
Authors

Gülcan Atıcı Turan 0000-0002-1009-6072

Publication Date December 30, 2024
Submission Date November 20, 2024
Acceptance Date December 24, 2024
Published in Issue Year 2024

Cite

IEEE G. Atıcı Turan, “NEW GENERALIZED DIFFERENCE SEQUENCE SPACES AND THEIR KÖTHE-TOEPLITZ DUALS”, MEJS, vol. 10, no. 2, pp. 144–150, 2024, doi: 10.51477/mejs.1588355.

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