Conference Paper

A New Modular Space Derived by Euler Totient Function

Volume: 2 Number: 1 October 30, 2019
EN

A New Modular Space Derived by Euler Totient Function

Abstract

In this study, we introduce the Euler Totient sequence spaces  in generalized Orlicz space and  we examine some topological properties of these spaces by using the Luxemburg norm.

Keywords

References

  1. [1] J. Lindenstrauss, L. Tzafriri, On Orlicz sequence spaces, Israel J. Math., 10 (1971), 379-390.
  2. [2] J. Musielak, Orlicz Spaces and Modular Space, New York, Springer Verlag, 1983.
  3. [3] I. Schoenberg, The integrability of certain functions and related summability methods, Amer. Math. Monthly, 66 (1959), 361-375.
  4. [4] E. Kovac, On $\phi$ convergence and $\phi$ density, Math. Slovaca 55 (2005), 329-351.
  5. [5] I. Niven, H. S. Zuckerman, H. L. Montgomery, An introduction to the theory of numbers, (5th edition), Wiley, New York, 1991.
  6. [6] M. İlkhan, E. E. Kara, A new Banach space defined by Euler totient matrix operator, Oper. Matrices, 13(2) (2019), 527-544.
  7. [7] H. Haryadi, S. Supama, A. Zulijanto, A generalization of Cesaro sequence spaces in the Orlicz space, J. Phys. Conf. Ser. 1008 (2018), 012020.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Conference Paper

Publication Date

October 30, 2019

Submission Date

August 10, 2019

Acceptance Date

September 18, 2019

Published in Issue

Year 1970 Volume: 2 Number: 1

APA
İlkhan, M., Kara, E. E., & Usta, F. (2019). A New Modular Space Derived by Euler Totient Function. Conference Proceedings of Science and Technology, 2(1), 90-93. https://izlik.org/JA82FP92RP
AMA
1.İlkhan M, Kara EE, Usta F. A New Modular Space Derived by Euler Totient Function. Conference Proceedings of Science and Technology. 2019;2(1):90-93. https://izlik.org/JA82FP92RP
Chicago
İlkhan, Merve, Emrah Evren Kara, and Fuat Usta. 2019. “A New Modular Space Derived by Euler Totient Function”. Conference Proceedings of Science and Technology 2 (1): 90-93. https://izlik.org/JA82FP92RP.
EndNote
İlkhan M, Kara EE, Usta F (October 1, 2019) A New Modular Space Derived by Euler Totient Function. Conference Proceedings of Science and Technology 2 1 90–93.
IEEE
[1]M. İlkhan, E. E. Kara, and F. Usta, “A New Modular Space Derived by Euler Totient Function”, Conference Proceedings of Science and Technology, vol. 2, no. 1, pp. 90–93, Oct. 2019, [Online]. Available: https://izlik.org/JA82FP92RP
ISNAD
İlkhan, Merve - Kara, Emrah Evren - Usta, Fuat. “A New Modular Space Derived by Euler Totient Function”. Conference Proceedings of Science and Technology 2/1 (October 1, 2019): 90-93. https://izlik.org/JA82FP92RP.
JAMA
1.İlkhan M, Kara EE, Usta F. A New Modular Space Derived by Euler Totient Function. Conference Proceedings of Science and Technology. 2019;2:90–93.
MLA
İlkhan, Merve, et al. “A New Modular Space Derived by Euler Totient Function”. Conference Proceedings of Science and Technology, vol. 2, no. 1, Oct. 2019, pp. 90-93, https://izlik.org/JA82FP92RP.
Vancouver
1.Merve İlkhan, Emrah Evren Kara, Fuat Usta. A New Modular Space Derived by Euler Totient Function. Conference Proceedings of Science and Technology [Internet]. 2019 Oct. 1;2(1):90-3. Available from: https://izlik.org/JA82FP92RP