Research Article

On Orlicz Difference Sequence Spaces

Volume: 5 Number: 1 June 27, 2010
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On Orlicz Difference Sequence Spaces

Abstract

The main aim of this article is to generalize the famous Orlicz sequence space by using difference operators and a sequence of non-zero scalars and investigate some topological structure relevant to this generalized space.  

Keywords

References

  1. Kizmaz H., 1981. On certain sequence spaces, Canadian Mathematical Bulletin, 24 (2): 169-176.
  2. Kamthan P.K., Gupta M., 1981. Sequence Spaces and Series, Marcel Dekker Inc., New York, USA, p. 368.
  3. Lindenstrauss J., Tzafriri L., 1971. On Orlicz sequence spaces, Israel Journal of Mathematics, 10: 379-390.
  4. Gribanov Y., 1957. On the theory of ℓM-spaces(Russian), Ucenyja Zapiski Kazanskun-ta, 117: 62-65.
  5. Krasnoselskii M.A., Rutitsky Y.B., 1961. Convex functions and Orlicz spaces, Groningen, Netherlands, p. 249.
  6. Goes G., Goes S., 1970. Sequences of bounded variation and sequences of Fourier coefficients, Mathematische Zeitschrift, 118 (2): 93-102.
  7. Köthe G., Toeplitz O., 1934. Linear Raume mit unendlichvielen koordinaten and Ringe unendlicher Matrizen, Journal Für Die Reine und Angewandte Mathematik, 1934 (171): 193-226.
  8. Kamthan P.K., 1976. Bases in a certain class of Frechet spaces, Tamkang Journal of Mathematics, 7 (1): 41-49.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 27, 2010

Submission Date

June 27, 2010

Acceptance Date

-

Published in Issue

Year 2010 Volume: 5 Number: 1

APA
Dutta, H. (2010). On Orlicz Difference Sequence Spaces. Süleyman Demirel University Faculty of Arts and Science Journal of Science, 5(1), 119-136. https://izlik.org/JA67RU62HY
AMA
1.Dutta H. On Orlicz Difference Sequence Spaces. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2010;5(1):119-136. https://izlik.org/JA67RU62HY
Chicago
Dutta, Hemen. 2010. “On Orlicz Difference Sequence Spaces”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 5 (1): 119-36. https://izlik.org/JA67RU62HY.
EndNote
Dutta H (June 1, 2010) On Orlicz Difference Sequence Spaces. Süleyman Demirel University Faculty of Arts and Science Journal of Science 5 1 119–136.
IEEE
[1]H. Dutta, “On Orlicz Difference Sequence Spaces”, Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 5, no. 1, pp. 119–136, June 2010, [Online]. Available: https://izlik.org/JA67RU62HY
ISNAD
Dutta, Hemen. “On Orlicz Difference Sequence Spaces”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 5/1 (June 1, 2010): 119-136. https://izlik.org/JA67RU62HY.
JAMA
1.Dutta H. On Orlicz Difference Sequence Spaces. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2010;5:119–136.
MLA
Dutta, Hemen. “On Orlicz Difference Sequence Spaces”. Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 5, no. 1, June 2010, pp. 119-36, https://izlik.org/JA67RU62HY.
Vancouver
1.Hemen Dutta. On Orlicz Difference Sequence Spaces. Süleyman Demirel University Faculty of Arts and Science Journal of Science [Internet]. 2010 Jun. 1;5(1):119-36. Available from: https://izlik.org/JA67RU62HY