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Dergiler / Conference Proceedings of Science and Technology / 2026 / Cilt: 2 Sayı: 1

A New Modular Space Derived by Euler Totient Function

Merve İlkhan(DUZCE UNIVERSITY)0000-0002-0831-1474
Emrah Evren Kara(DUZCE UNIVERSITY)0000-0002-6398-4065
Fuat Usta(DUZCE UNIVERSITY)0000-0002-7750-6910
Sayfa
90–93
Yayın Tarihi
2019-10-30
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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.
🔬Tür:Konferans Bildirisi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Euler Totient function · modular space · Orlicz sequence space

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.

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Bu Makaleye Atıf Yap

İlkhan, M., Kara, E. E., Usta, F. (2019). A New Modular Space Derived by Euler Totient Function. Conference Proceedings of Science and Technology, Cilt: 2 Sayı: 1, 90–93. https://ajindex.com/articles/1648763

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Kaynakça (7)

  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.