Research Article

SOME PARANORMED SEQUENCE SPACES DEFINED BY A MUSIELAK-ORLICZ FUNCTION OVER N-NORMED SPACES

Volume: 3 Number: 1 April 1, 2015
EN

SOME PARANORMED SEQUENCE SPACES DEFINED BY A MUSIELAK-ORLICZ FUNCTION OVER N-NORMED SPACES

Abstract

In this paper we present new classes of sequence spaces using la- cunary sequences and a Musielak-Orlicz function over n-normed spaces. We examine some topological properties and prove some interesting inclusion re- lations between them.

Keywords

References

  1. [1] A.Esi, Some new paranormed sequence spaces de ned by Orlicz function, International Journal of Science, Environment and Technology, 1 (2012), 49-55.
  2. [2] A.Esi, Strongly lacunary summable double sequence spaces in n-normed spaces de ned by ideal convergence and an Orlicz function, Advanced Modeling and Optimization, 14(2012), 79-86.
  3. [3] A.Esi, Strongly almost summable sequence spaces in 2-normed spaces de ned by ideal convergence and an Orlicz function, Stud. Univ. Babes-Bolyai Math. 57 (2012), 75-82.
  4. [4] A. R. Freedman, J. J. Sember and M. Raphael, Some Cesaro-type summability spaces, Proc. London Math. Soc., 37 (1978), 508-520. [5] S. Gahler, Linear 2-normietre Rume, Math. Nachr., 28 (1965), 1-43.
  5. [6] H. Gunawan, On n-inner product, n-norms, and the Cauchy-Schwartz inequality, Sci. Math. Jap., 5 (2001), 47-54.
  6. [7] H. Gunawan, The space of p-summable sequence and its natural n-norm, Bull. Aust. Math. Soc., 64 (2001), 137-147.
  7. [8] H. Gunawan and M. Mashadi, On n-normed spaces, Int. J. Math. Math. Sci., 27 (2001), 631-639.
  8. [9] G. G. Lorentz, A contribution to the theory of divergent sequences, Acta Mathematica, 80 (1948), 167-190.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

S. K. Sharma This is me

Publication Date

April 1, 2015

Submission Date

June 10, 2014

Acceptance Date

-

Published in Issue

Year 2015 Volume: 3 Number: 1

APA
Eşi, A., & Sharma, S. K. (2015). SOME PARANORMED SEQUENCE SPACES DEFINED BY A MUSIELAK-ORLICZ FUNCTION OVER N-NORMED SPACES. Konuralp Journal of Mathematics, 3(1), 16-28. https://izlik.org/JA93MZ73ZK
AMA
1.Eşi A, Sharma SK. SOME PARANORMED SEQUENCE SPACES DEFINED BY A MUSIELAK-ORLICZ FUNCTION OVER N-NORMED SPACES. Konuralp J. Math. 2015;3(1):16-28. https://izlik.org/JA93MZ73ZK
Chicago
Eşi, Ayhan, and S. K. Sharma. 2015. “SOME PARANORMED SEQUENCE SPACES DEFINED BY A MUSIELAK-ORLICZ FUNCTION OVER N-NORMED SPACES”. Konuralp Journal of Mathematics 3 (1): 16-28. https://izlik.org/JA93MZ73ZK.
EndNote
Eşi A, Sharma SK (April 1, 2015) SOME PARANORMED SEQUENCE SPACES DEFINED BY A MUSIELAK-ORLICZ FUNCTION OVER N-NORMED SPACES. Konuralp Journal of Mathematics 3 1 16–28.
IEEE
[1]A. Eşi and S. K. Sharma, “SOME PARANORMED SEQUENCE SPACES DEFINED BY A MUSIELAK-ORLICZ FUNCTION OVER N-NORMED SPACES”, Konuralp J. Math., vol. 3, no. 1, pp. 16–28, Apr. 2015, [Online]. Available: https://izlik.org/JA93MZ73ZK
ISNAD
Eşi, Ayhan - Sharma, S. K. “SOME PARANORMED SEQUENCE SPACES DEFINED BY A MUSIELAK-ORLICZ FUNCTION OVER N-NORMED SPACES”. Konuralp Journal of Mathematics 3/1 (April 1, 2015): 16-28. https://izlik.org/JA93MZ73ZK.
JAMA
1.Eşi A, Sharma SK. SOME PARANORMED SEQUENCE SPACES DEFINED BY A MUSIELAK-ORLICZ FUNCTION OVER N-NORMED SPACES. Konuralp J. Math. 2015;3:16–28.
MLA
Eşi, Ayhan, and S. K. Sharma. “SOME PARANORMED SEQUENCE SPACES DEFINED BY A MUSIELAK-ORLICZ FUNCTION OVER N-NORMED SPACES”. Konuralp Journal of Mathematics, vol. 3, no. 1, Apr. 2015, pp. 16-28, https://izlik.org/JA93MZ73ZK.
Vancouver
1.Ayhan Eşi, S. K. Sharma. SOME PARANORMED SEQUENCE SPACES DEFINED BY A MUSIELAK-ORLICZ FUNCTION OVER N-NORMED SPACES. Konuralp J. Math. [Internet]. 2015 Apr. 1;3(1):16-28. Available from: https://izlik.org/JA93MZ73ZK
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