The Semi normed space defined~by~$\chi$~sequences

Volume: 2 Number: 2 August 1, 2014
  • Nagarajan Subramanıan
  • Peruyannan. Thirunavukarasu
  • Raman Babu
EN TR

The Semi normed space defined~by~$\chi$~sequences

Abstract

In this paper we introduce the sequence spaces ( , , , ), Λ( , , , ) and define a semi normed space ( , ) semi normed by . We study some properties of these sequence spaces and obtain some inclusion relations

Keywords

References

  1. Y. Altin and M. Et, Generalized di_erence sequences spaces de_ned by a modulus function in a locally convex space, Soochow J. Math. 31(1) (2005), 233-243.
  2. H. I. Brown, The summability _eld of a perfect l{l method of summation, J. Anal. Math., 20 (1967), 281-287.
  3. R. Colak, M. Et, and E. Malkowsky, Some topics of sequence spaces, Lecture Notes in Mathematics, Firat University Press, Elazig, Turkey, 2004.
  4. C. Go_man and G. Pedrick, First Course in Functional Analysis, Prentice Hall India, New Delhi, 1974.
  5. P. K. Kamthan and M. Gupta, Sequence spaces and Series. Lecture Notes in Pure and Applied Mathematics, 65 Marcel Dekker, Inc., New York, 1981.
  6. I. J. Maddox, Elements of Functional Analysis, Cambridge Univ. Press, 1970.
  7. I. J. Maddox, Sequence spaces de_ned by a modulus, Math. Proc., Cambridge Philos. Soc. 100 (1986), 161-166.
  8. H. Nakano, \Concave modulars", Journal of the Mathematical Society of Japan, 5(1) (1953), 29-49.

Details

Primary Language

Turkish

Subjects

-

Journal Section

-

Authors

Nagarajan Subramanıan This is me

Peruyannan. Thirunavukarasu This is me

Raman Babu This is me

Publication Date

August 1, 2014

Submission Date

March 13, 2015

Acceptance Date

-

Published in Issue

Year 2014 Volume: 2 Number: 2

APA
Subramanıan, N., Thirunavukarasu, P., & Babu, R. (2014). The semi normed space defined by sequences. New Trends in Mathematical Sciences, 2(2), 125-128. https://izlik.org/JA86GK29XK
AMA
1.Subramanıan N, Thirunavukarasu P, Babu R. The semi normed space defined by sequences. New Trends in Mathematical Sciences. 2014;2(2):125-128. https://izlik.org/JA86GK29XK
Chicago
Subramanıan, Nagarajan, Peruyannan. Thirunavukarasu, and Raman Babu. 2014. “The Semi Normed Space Defined by Sequences”. New Trends in Mathematical Sciences 2 (2): 125-28. https://izlik.org/JA86GK29XK.
EndNote
Subramanıan N, Thirunavukarasu P, Babu R (August 1, 2014) The semi normed space defined by sequences. New Trends in Mathematical Sciences 2 2 125–128.
IEEE
[1]N. Subramanıan, P. Thirunavukarasu, and R. Babu, “The semi normed space defined by sequences”, New Trends in Mathematical Sciences, vol. 2, no. 2, pp. 125–128, Aug. 2014, [Online]. Available: https://izlik.org/JA86GK29XK
ISNAD
Subramanıan, Nagarajan - Thirunavukarasu, Peruyannan. - Babu, Raman. “The Semi Normed Space Defined by Sequences”. New Trends in Mathematical Sciences 2/2 (August 1, 2014): 125-128. https://izlik.org/JA86GK29XK.
JAMA
1.Subramanıan N, Thirunavukarasu P, Babu R. The semi normed space defined by sequences. New Trends in Mathematical Sciences. 2014;2:125–128.
MLA
Subramanıan, Nagarajan, et al. “The Semi Normed Space Defined by Sequences”. New Trends in Mathematical Sciences, vol. 2, no. 2, Aug. 2014, pp. 125-8, https://izlik.org/JA86GK29XK.
Vancouver
1.Nagarajan Subramanıan, Peruyannan. Thirunavukarasu, Raman Babu. The semi normed space defined by sequences. New Trends in Mathematical Sciences [Internet]. 2014 Aug. 1;2(2):125-8. Available from: https://izlik.org/JA86GK29XK