Research Article
Some Topologıcal Properties of Generalized Grand Lebesgue Sequence Spaces Defined by Modulus Function
Abstract
References
- Iwaniec, T. ve Sbordone, C., 1992. On the Integrability of the Jacobian Under Minimal Hypotheses. Archive for Rational Mechanics and analysis. 119(2), 129-143.
- Jain, P. ve Kumari, S., 2012. On Grand Lorentz Spaces and the Maximal Operator. Georgian Mathematical Journal. 19, 235-246.
- Maddox, I. J., 1986. Sequence Spaces Defined by a Modulus. Mathematical Proceeding of the Cambridge Philosophical Society. 100, 161-166.
- Malkowsky, E. ve Savaş, E., 2000. Some λ-Sequence Spaces Defined by a Modulus. Archiv der Mathematik. 36(3), 219-228.
- Nakano, H., 1953. Concave Modular. Journal of the Mathematical Society of Japan. 5, 29-49.
- Oğur, O., 2015. A New Double Cesaro Sequence Space Defined by Modulus Functions. Journal of Applied Functional Analysis. 10(1), 109-116.
- Oğur, O. ve Duyar, C., 2016. On Generalized Lorentz Sequence Space Defined by Modulus Functions. Filomat. 30(2), 497-504.
- Rafeiro, H., Samko, S., Umarkhadzhiev S., 2018. Grand Lebesgue Sequence Spaces. Georgian Mathematical Journal. 19(2), 235-246.
- Ruckle, W. H.,1973. FK-Spaces in which the Sequence of Coordinate Vectors is Bounded. Canadian Journal of Mathematics. 25, 973-978.
- Samko, S. ve Umarkhadzhiev S., 2017. On Grand Lebesgue Spaces on Sets of Infinite Measure. Mathematische Nachrichten. 290, 913-919.
- Savaş, E., 1999. On Some Generalized Sequence Spaces Defined by a Modulus. Indian Journal of Pure and Applied Mathematics. 30(5), 459-464.
- Wilansky, A., 1964. Functıonal Analysis: New York, Blaisdell.
Modülüs Fonksiyonu ile Tanımlanmış Genelleştirilmiş Büyük Lebesgue Dizi Uzaylarının Topolojik Bazı Özellikleri
Abstract
Bu çalışmada, Rafeiro vd. (2018) tarafından tanımlanan büyük Lebesgue dizi uzaylarını modülüs fonksiyonu yardımıyla genelleştirdik. Ayrıca, bu uzayların bazı topolojik ve kapsama özelliklerini inceledik.
References
- Iwaniec, T. ve Sbordone, C., 1992. On the Integrability of the Jacobian Under Minimal Hypotheses. Archive for Rational Mechanics and analysis. 119(2), 129-143.
- Jain, P. ve Kumari, S., 2012. On Grand Lorentz Spaces and the Maximal Operator. Georgian Mathematical Journal. 19, 235-246.
- Maddox, I. J., 1986. Sequence Spaces Defined by a Modulus. Mathematical Proceeding of the Cambridge Philosophical Society. 100, 161-166.
- Malkowsky, E. ve Savaş, E., 2000. Some λ-Sequence Spaces Defined by a Modulus. Archiv der Mathematik. 36(3), 219-228.
- Nakano, H., 1953. Concave Modular. Journal of the Mathematical Society of Japan. 5, 29-49.
- Oğur, O., 2015. A New Double Cesaro Sequence Space Defined by Modulus Functions. Journal of Applied Functional Analysis. 10(1), 109-116.
- Oğur, O. ve Duyar, C., 2016. On Generalized Lorentz Sequence Space Defined by Modulus Functions. Filomat. 30(2), 497-504.
- Rafeiro, H., Samko, S., Umarkhadzhiev S., 2018. Grand Lebesgue Sequence Spaces. Georgian Mathematical Journal. 19(2), 235-246.
- Ruckle, W. H.,1973. FK-Spaces in which the Sequence of Coordinate Vectors is Bounded. Canadian Journal of Mathematics. 25, 973-978.
- Samko, S. ve Umarkhadzhiev S., 2017. On Grand Lebesgue Spaces on Sets of Infinite Measure. Mathematische Nachrichten. 290, 913-919.
- Savaş, E., 1999. On Some Generalized Sequence Spaces Defined by a Modulus. Indian Journal of Pure and Applied Mathematics. 30(5), 459-464.
- Wilansky, A., 1964. Functıonal Analysis: New York, Blaisdell.
There are 12 citations in total.
Details
| Primary Language | Turkish |
|---|---|
| Journal Section | Articles |
| Authors | |
| Publication Date | October 15, 2020 |
| Submission Date | May 4, 2020 |
| Acceptance Date | September 25, 2020 |
| Published in Issue | Year 2020 |