Research Article

ON SPACES OF IDEAL CONVERGENT FIBONACCI DIFFERENCE SEQUENCE DEFINED BY ORLICZ FUNCTION

Volume: 37 Number: 1 March 1, 2019
  • Vakeel A. Khan
  • Kamal M. A. S. Alshlool
  • Abdullah A. H. Makharesh
  • Sameera A. A. Abdullah

ON SPACES OF IDEAL CONVERGENT FIBONACCI DIFFERENCE SEQUENCE DEFINED BY ORLICZ FUNCTION

Abstract

In this paper, we introduce some new Fibonacci difference sequence spaces , , and by using the idea of Orlicz function and the Fibonacci difference matrix defined by Fibonacci sequence. We study some topological and algebraic properties on these spaces. Furthermore, we study some inclusion relations concerning these spaces.

Keywords

References

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  2. [2] M. Candan and E. E. Kara. A study on topological and geometrical characteristics of new banach sequence spaces. Gulf J. Math, 3(4):67-84, 2015.
  3. [3] M. Candan. A new approach on the spaces of generalized Fibonacci difference null and convergent sequences. Math. terna, 5(1):191-210, 2015.
  4. [4] M. Candan. Vector valued Orlicz sequence space generalized with an infinite matrix and some of its specific characteristics. Gen, 29(2):1-16, 2015.
  5. [5] M. Candan and K. Kayaduman. Almost convergent sequence space derived by generalized Fibonacci matrix and Fibonacci core. Brithish J. Math. Comput. Sci, 7(2):150-167, 2015.
  6. [6] M. Candan and G. Kilnc. A different look for paranormed riesz sequence space derived by Fibonacci matrix. Konuralp Journal of Mathematics, 3(2):62-76, 2015.
  7. [7] S. Demiriz, E. E. Kara, and M. Bacarir. On the Fibonacci almost convergent sequence space and Fibonacci core. Kyungpook Mathematical Journal, 55(2), 2015.
  8. [8] H. Fast. Sur la convergence statistique. Colloquium Mathematicae. 2(3-4): 241-244, 1951.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Kamal M. A. S. Alshlool This is me
0000-0003-0029-2405
India

Abdullah A. H. Makharesh This is me
0000-0002-7225-3512
India

Sameera A. A. Abdullah This is me
0000-0003-0029-2405
India

Publication Date

March 1, 2019

Submission Date

August 17, 2018

Acceptance Date

November 13, 2018

Published in Issue

Year 2019 Volume: 37 Number: 1

APA
Khan, V. A., M. A. S. Alshlool, K., A. H. Makharesh, A., & A. A. Abdullah, S. (2019). ON SPACES OF IDEAL CONVERGENT FIBONACCI DIFFERENCE SEQUENCE DEFINED BY ORLICZ FUNCTION. Sigma Journal of Engineering and Natural Sciences, 37(1), 143-154. https://izlik.org/JA75BA35DU
AMA
1.Khan VA, M. A. S. Alshlool K, A. H. Makharesh A, A. A. Abdullah S. ON SPACES OF IDEAL CONVERGENT FIBONACCI DIFFERENCE SEQUENCE DEFINED BY ORLICZ FUNCTION. SIGMA. 2019;37(1):143-154. https://izlik.org/JA75BA35DU
Chicago
Khan, Vakeel A., Kamal M. A. S. Alshlool, Abdullah A. H. Makharesh, and Sameera A. A. Abdullah. 2019. “ON SPACES OF IDEAL CONVERGENT FIBONACCI DIFFERENCE SEQUENCE DEFINED BY ORLICZ FUNCTION”. Sigma Journal of Engineering and Natural Sciences 37 (1): 143-54. https://izlik.org/JA75BA35DU.
EndNote
Khan VA, M. A. S. Alshlool K, A. H. Makharesh A, A. A. Abdullah S (March 1, 2019) ON SPACES OF IDEAL CONVERGENT FIBONACCI DIFFERENCE SEQUENCE DEFINED BY ORLICZ FUNCTION. Sigma Journal of Engineering and Natural Sciences 37 1 143–154.
IEEE
[1]V. A. Khan, K. M. A. S. Alshlool, A. A. H. Makharesh, and S. A. A. Abdullah, “ON SPACES OF IDEAL CONVERGENT FIBONACCI DIFFERENCE SEQUENCE DEFINED BY ORLICZ FUNCTION”, SIGMA, vol. 37, no. 1, pp. 143–154, Mar. 2019, [Online]. Available: https://izlik.org/JA75BA35DU
ISNAD
Khan, Vakeel A. - M. A. S. Alshlool, Kamal - A. H. Makharesh, Abdullah - A. A. Abdullah, Sameera. “ON SPACES OF IDEAL CONVERGENT FIBONACCI DIFFERENCE SEQUENCE DEFINED BY ORLICZ FUNCTION”. Sigma Journal of Engineering and Natural Sciences 37/1 (March 1, 2019): 143-154. https://izlik.org/JA75BA35DU.
JAMA
1.Khan VA, M. A. S. Alshlool K, A. H. Makharesh A, A. A. Abdullah S. ON SPACES OF IDEAL CONVERGENT FIBONACCI DIFFERENCE SEQUENCE DEFINED BY ORLICZ FUNCTION. SIGMA. 2019;37:143–154.
MLA
Khan, Vakeel A., et al. “ON SPACES OF IDEAL CONVERGENT FIBONACCI DIFFERENCE SEQUENCE DEFINED BY ORLICZ FUNCTION”. Sigma Journal of Engineering and Natural Sciences, vol. 37, no. 1, Mar. 2019, pp. 143-54, https://izlik.org/JA75BA35DU.
Vancouver
1.Vakeel A. Khan, Kamal M. A. S. Alshlool, Abdullah A. H. Makharesh, Sameera A. A. Abdullah. ON SPACES OF IDEAL CONVERGENT FIBONACCI DIFFERENCE SEQUENCE DEFINED BY ORLICZ FUNCTION. SIGMA [Internet]. 2019 Mar. 1;37(1):143-54. Available from: https://izlik.org/JA75BA35DU

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