Research Article

SOME SPACES OF A-IDEAL CONVERGENT SEQUENCES DEFINED BY MUSIELAK-ORLICZ FUNCTION

Volume: 4 Number: 2 October 1, 2016
EN

SOME SPACES OF A-IDEAL CONVERGENT SEQUENCES DEFINED BY MUSIELAK-ORLICZ FUNCTION

Abstract

We introduce basic properties of some sequence spaces using ideal convergent and Musielak Orlicz function $\mathcal{M}=(M_k)$. Including relations related to these spaces are investigated in this paper.

Keywords

References

  1. [1] P. Kostyrko, T. Salat, W. Wilczynski, I-convergence, Real Anal. Exchange 262, (2000), 669-685, 2000.
  2. [2] T. Salat, B.C. Tripathy, M. Zman, On some properties of I-convergence, Tatra Mt. Math. Publ. 28, (2004), 279-286.
  3. [3] E. E. Kara, M. Ilkhan, On some paranormed A-ideal convergent sequence spaces de ned by Orlicz function, Asian Journal of Mathematics and Computer Research, 4(4), (2015), 183-194.
  4. [4] J. Lindenstrauss, L. Tzafriri, On Orlicz sequence spaces, Israel J. Math., Vol:10 No.3, (1971), 379-390.
  5. [5] S. D. Parashar, B. Choudhary, Sequence spaces de ned by Orlicz function, Indian J. Pure Appl. Math., Vol:25, No.4, (1994), 419-428.
  6. [6] V. K. Bhardwaj, N. Singh, On some new spaces of lacunary strongly -sequences de ned by Orlicz functions, Indian J. Pure Appl. Math., Vol:31, No.11, (2000), 1515-1526.
  7. [7] M. A. Krasnoselskii, Y. B. Rutitsky, Convex functions and Orlicz spaces, P. Noordhoff, Groningen, The Netherlands, 1961.
  8. [8] L. Maligranda, Orlicz spaces and interpolation, vol. 5 of Seminars in Mathematics, Polish Academy of Science, 1989.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

MERVE Abay
Türkiye

Publication Date

October 1, 2016

Submission Date

July 9, 2015

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 2

APA
Altundag, S., & Abay, M. (2016). SOME SPACES OF A-IDEAL CONVERGENT SEQUENCES DEFINED BY MUSIELAK-ORLICZ FUNCTION. Konuralp Journal of Mathematics, 4(2), 169-176. https://izlik.org/JA69YH48LJ
AMA
1.Altundag S, Abay M. SOME SPACES OF A-IDEAL CONVERGENT SEQUENCES DEFINED BY MUSIELAK-ORLICZ FUNCTION. Konuralp J. Math. 2016;4(2):169-176. https://izlik.org/JA69YH48LJ
Chicago
Altundag, SELMA, and MERVE Abay. 2016. “SOME SPACES OF A-IDEAL CONVERGENT SEQUENCES DEFINED BY MUSIELAK-ORLICZ FUNCTION”. Konuralp Journal of Mathematics 4 (2): 169-76. https://izlik.org/JA69YH48LJ.
EndNote
Altundag S, Abay M (October 1, 2016) SOME SPACES OF A-IDEAL CONVERGENT SEQUENCES DEFINED BY MUSIELAK-ORLICZ FUNCTION. Konuralp Journal of Mathematics 4 2 169–176.
IEEE
[1]S. Altundag and M. Abay, “SOME SPACES OF A-IDEAL CONVERGENT SEQUENCES DEFINED BY MUSIELAK-ORLICZ FUNCTION”, Konuralp J. Math., vol. 4, no. 2, pp. 169–176, Oct. 2016, [Online]. Available: https://izlik.org/JA69YH48LJ
ISNAD
Altundag, SELMA - Abay, MERVE. “SOME SPACES OF A-IDEAL CONVERGENT SEQUENCES DEFINED BY MUSIELAK-ORLICZ FUNCTION”. Konuralp Journal of Mathematics 4/2 (October 1, 2016): 169-176. https://izlik.org/JA69YH48LJ.
JAMA
1.Altundag S, Abay M. SOME SPACES OF A-IDEAL CONVERGENT SEQUENCES DEFINED BY MUSIELAK-ORLICZ FUNCTION. Konuralp J. Math. 2016;4:169–176.
MLA
Altundag, SELMA, and MERVE Abay. “SOME SPACES OF A-IDEAL CONVERGENT SEQUENCES DEFINED BY MUSIELAK-ORLICZ FUNCTION”. Konuralp Journal of Mathematics, vol. 4, no. 2, Oct. 2016, pp. 169-76, https://izlik.org/JA69YH48LJ.
Vancouver
1.SELMA Altundag, MERVE Abay. SOME SPACES OF A-IDEAL CONVERGENT SEQUENCES DEFINED BY MUSIELAK-ORLICZ FUNCTION. Konuralp J. Math. [Internet]. 2016 Oct. 1;4(2):169-76. Available from: https://izlik.org/JA69YH48LJ
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