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
Kaynakça
- [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.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Konferans Bildirisi
Yazarlar
Merve İlkhan
0000-0002-0831-1474
Türkiye
Yayımlanma Tarihi
30 Ekim 2019
Gönderilme Tarihi
10 Ağustos 2019
Kabul Tarihi
18 Eylül 2019
Yayımlandığı Sayı
Yıl 2019 Cilt: 2 Sayı: 1