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The Rate of $\chi$-space Defined by a Modulus

Year 2014, Volume: 2 Issue: 2, 78 - 86, 01.08.2014

Nagarajan Subramanian Periyanan Thirunavukkarasu Raman Babu

https://izlik.org/JA48UG98HF

Abstract

In this paper we introduce the modulus function of characterize the duals of the . We establish some inclusion relations, topological results and we sequence spaces

References

  • [3] [4] [5] [6] [7] [8] [9] [10] Nakano, Concave modulus, J. Math. Soc. Japan, 5(1953), 29-49.
  • W. Orlicz, Über Raume (
  • W.H. Ruckle, FK Spaces in which the sequence of coordinate vector is bounded, Canada, J. Math., 25 (1973), 973-978.
  • S.M. Sirajindeen, Matrix transformation of 0( ), ∞( ), and into , Indian J. Pure Appl. Math., 12(9) (1981), 1106-1113.
  • S. Sridhar, A matrix transformation between some sequence Spaces, Acta Ciencia Indica, 5(1979), 194-197.
  • B.C. Tripathy, M. Et and Y. Altin, Generalized difference sequence spaces defined by Orlicz function in a locally convex space, J. Analysis and Applications, 1(3) (2003), 175-192.
  • A. Wilansky, Summability through functional analysis, North Holland, Mathematical Studies, North-Holland Publishing, Amsterdam,Vol. 85(1984).

The rate of -space defined by a modulus

Year 2014, Volume: 2 Issue: 2, 78 - 86, 01.08.2014

Nagarajan Subramanian Periyanan Thirunavukkarasu Raman Babu

https://izlik.org/JA48UG98HF

Abstract

References

  • [3] [4] [5] [6] [7] [8] [9] [10] Nakano, Concave modulus, J. Math. Soc. Japan, 5(1953), 29-49.
  • W. Orlicz, Über Raume (
  • W.H. Ruckle, FK Spaces in which the sequence of coordinate vector is bounded, Canada, J. Math., 25 (1973), 973-978.
  • S.M. Sirajindeen, Matrix transformation of 0( ), ∞( ), and into , Indian J. Pure Appl. Math., 12(9) (1981), 1106-1113.
  • S. Sridhar, A matrix transformation between some sequence Spaces, Acta Ciencia Indica, 5(1979), 194-197.
  • B.C. Tripathy, M. Et and Y. Altin, Generalized difference sequence spaces defined by Orlicz function in a locally convex space, J. Analysis and Applications, 1(3) (2003), 175-192.
  • A. Wilansky, Summability through functional analysis, North Holland, Mathematical Studies, North-Holland Publishing, Amsterdam,Vol. 85(1984).
There are 7 citations in total.

Details

Authors

Nagarajan Subramanian This is me

Periyanan Thirunavukkarasu This is me

Raman Babu This is me

Publication Date August 1, 2014
IZ https://izlik.org/JA48UG98HF
Published in Issue Year 2014 Volume: 2 Issue: 2

Cite

APA Subramanian, N., Thirunavukkarasu, P., & Babu, R. (2014). The rate of -space defined by a modulus. New Trends in Mathematical Sciences, 2(2), 78-86. https://izlik.org/JA48UG98HF
AMA 1.Subramanian N, Thirunavukkarasu P, Babu R. The rate of -space defined by a modulus. New Trends in Mathematical Sciences. 2014;2(2):78-86. https://izlik.org/JA48UG98HF
Chicago Subramanian, Nagarajan, Periyanan Thirunavukkarasu, and Raman Babu. 2014. “The Rate of -Space Defined by a Modulus”. New Trends in Mathematical Sciences 2 (2): 78-86. https://izlik.org/JA48UG98HF.
EndNote Subramanian N, Thirunavukkarasu P, Babu R (August 1, 2014) The rate of -space defined by a modulus. New Trends in Mathematical Sciences 2 2 78–86.
IEEE [1]N. Subramanian, P. Thirunavukkarasu, and R. Babu, “The rate of -space defined by a modulus”, New Trends in Mathematical Sciences, vol. 2, no. 2, pp. 78–86, Aug. 2014, [Online]. Available: https://izlik.org/JA48UG98HF
ISNAD Subramanian, Nagarajan - Thirunavukkarasu, Periyanan - Babu, Raman. “The Rate of -Space Defined by a Modulus”. New Trends in Mathematical Sciences 2/2 (August 1, 2014): 78-86. https://izlik.org/JA48UG98HF.
JAMA 1.Subramanian N, Thirunavukkarasu P, Babu R. The rate of -space defined by a modulus. New Trends in Mathematical Sciences. 2014;2:78–86.
MLA Subramanian, Nagarajan, et al. “The Rate of -Space Defined by a Modulus”. New Trends in Mathematical Sciences, vol. 2, no. 2, Aug. 2014, pp. 78-86, https://izlik.org/JA48UG98HF.
Vancouver 1.Nagarajan Subramanian, Periyanan Thirunavukkarasu, Raman Babu. The rate of -space defined by a modulus. New Trends in Mathematical Sciences [Internet]. 2014 Aug. 1;2(2):78-86. Available from: https://izlik.org/JA48UG98HF