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] J. Lindenstrauss, L. Tzafriri, On Orlicz sequence spaces, Israel J. Math., 10 (1971), 379-390.
- [2] J. Musielak, Orlicz Spaces and Modular Space, New York, Springer Verlag, 1983.
- [3] I. Schoenberg, The integrability of certain functions and related summability methods, Amer. Math. Monthly, 66 (1959), 361-375.
- [4] E. Kovac, On $\phi$ convergence and $\phi$ density, Math. Slovaca 55 (2005), 329-351.
- [5] I. Niven, H. S. Zuckerman, H. L. Montgomery, An introduction to the theory of numbers, (5th edition), Wiley, New York, 1991.
- [6] M. İlkhan, E. E. Kara, A new Banach space defined by Euler totient matrix operator, Oper. Matrices, 13(2) (2019), 527-544.
- [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
Authors
Merve İlkhan
0000-0002-0831-1474
Türkiye
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