Research Article

NEW GENERALIZED DIFFERENCE SEQUENCE SPACES AND THEIR KÖTHE-TOEPLITZ DUALS

Volume: 10 Number: 2 December 30, 2024
EN

NEW GENERALIZED DIFFERENCE SEQUENCE SPACES AND THEIR KÖTHE-TOEPLITZ DUALS

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.

Keywords

References

  1. Kızmaz, H., “On Certain Sequence Spaces”, Canad. Math. Bull., 24, 169-176, 1981.
  2. Et, M., Çolak, R., “On Some Generalized Difference Sequence Spaces”, Soochow J. Math., 21, 377-386, 1995.
  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.
  5. Et, M., Başarır, M., “On Some New Generalized Difference Sequence Spaces”, Periodica Math. Hungarica, 35(3), 169-175, 1997.
  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.

Details

Primary Language

English

Subjects

Mathematical Methods and Special Functions

Journal Section

Research Article

Publication Date

December 30, 2024

Submission Date

November 20, 2024

Acceptance Date

December 24, 2024

Published in Issue

Year 2024 Volume: 10 Number: 2

APA
Atıcı Turan, G. (2024). NEW GENERALIZED DIFFERENCE SEQUENCE SPACES AND THEIR KÖTHE-TOEPLITZ DUALS. Middle East Journal of Science, 10(2), 144-150. https://doi.org/10.51477/mejs.1588355
AMA
1.Atıcı Turan G. NEW GENERALIZED DIFFERENCE SEQUENCE SPACES AND THEIR KÖTHE-TOEPLITZ DUALS. MEJS. 2024;10(2):144-150. doi:10.51477/mejs.1588355
Chicago
Atıcı Turan, Gülcan. 2024. “NEW GENERALIZED DIFFERENCE SEQUENCE SPACES AND THEIR KÖTHE-TOEPLITZ DUALS”. Middle East Journal of Science 10 (2): 144-50. https://doi.org/10.51477/mejs.1588355.
EndNote
Atıcı Turan G (December 1, 2024) NEW GENERALIZED DIFFERENCE SEQUENCE SPACES AND THEIR KÖTHE-TOEPLITZ DUALS. Middle East Journal of Science 10 2 144–150.
IEEE
[1]G. Atıcı Turan, “NEW GENERALIZED DIFFERENCE SEQUENCE SPACES AND THEIR KÖTHE-TOEPLITZ DUALS”, MEJS, vol. 10, no. 2, pp. 144–150, Dec. 2024, doi: 10.51477/mejs.1588355.
ISNAD
Atıcı Turan, Gülcan. “NEW GENERALIZED DIFFERENCE SEQUENCE SPACES AND THEIR KÖTHE-TOEPLITZ DUALS”. Middle East Journal of Science 10/2 (December 1, 2024): 144-150. https://doi.org/10.51477/mejs.1588355.
JAMA
1.Atıcı Turan G. NEW GENERALIZED DIFFERENCE SEQUENCE SPACES AND THEIR KÖTHE-TOEPLITZ DUALS. MEJS. 2024;10:144–150.
MLA
Atıcı Turan, Gülcan. “NEW GENERALIZED DIFFERENCE SEQUENCE SPACES AND THEIR KÖTHE-TOEPLITZ DUALS”. Middle East Journal of Science, vol. 10, no. 2, Dec. 2024, pp. 144-50, doi:10.51477/mejs.1588355.
Vancouver
1.Gülcan Atıcı Turan. NEW GENERALIZED DIFFERENCE SEQUENCE SPACES AND THEIR KÖTHE-TOEPLITZ DUALS. MEJS. 2024 Dec. 1;10(2):144-50. doi:10.51477/mejs.1588355

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