KaydedilenlerDerginizi ekleyin

Dergiler / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 4

Statistically multiplicative convergence on locally solid Riesz algebras

Mikail ET
Abdullah AYDIN
Sayfa
1506–1516
Yayın Tarihi
2022-11-05
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Also, we give some results related to semiprime f -algebras.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we introduce the statistically multiplicative convergent sequences in locally solid Riesz algebras with respect to algebra multiplication and solid topology.
📊
Temel Bulgular & Veri:We study this concept and the notion of stm-bounded sequences, and also, we prove some relations between this convergence and the other convergences such as the order convergence and the statistical convergence in topological spaces.
💡
Sonuç & Katkı:Also, we give some results related to semiprime f -algebras.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we introduce the statistically multiplicative convergent sequences in locally solid Riesz algebras with respect to algebra multiplication and solid topology. We study this concept and the notion of stm-bounded sequences, and also, we prove some relations between this convergence and the other convergences such as the order convergence and the statistical convergence in topological spaces. Also, we give some results related to semiprime f -algebras.

🔖

Bu Makaleye Atıf Yap

ET, M., AYDIN, A. (2022). Statistically multiplicative convergence on locally solid Riesz algebras. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 4, 1506–1516. https://ajindex.com/articles/607430

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (13)

  1. Aliprantis CD, Burkinshaw O. Locally Solid Riesz Spaces with Applications to Economics. USA: American Mathematical Society, Mathematical Surveys and Monographs 2003 (105). doi.org/10.1090/surv/105 [2] Aliprantis CD, Burkinshaw O. Positive Operators. Dordrecht, Netherlands: Springer, 2006. doi.org/10.1007/978-1- 4020-5008-4 [3] Aydın A. The statistically unbounded τ -convergence on locally solid Riesz spaces. Turkish Journal of Mathematics 2020
  2. 44 (3): 949-956. doi.org/10.3906/mat-1912-37 [4] Aydın A. Multiplicative order convergence in f -algebras. Hacettepe Journal of Mathematics and Statistics 2020
  3. 49 (3): 998-1005. doi:10.15672/hujms.512073 [5] Aydın A. The multiplicative norm convergence in normed Riesz algebras. Hacettepe Journal of Mathematics and Statistics 2021: 50 (1): 24-32. doi:10.15672/hujms.512073 [6] Aydın A, Emelyanov E, Gorokhova SG. Full lattice convergence on Riesz spaces. Indagationes Mathematicae 2021
  4. 32 (3): 658-690. doi.org/10.1016/j.indag.2021.01.008 [7] Bhardwaj VK, Gupta S. On some generalizations of statistical boundedness. Journal of Inequalities and Applications 2014
  5. 12 (2014): 1-11. doi.org/10.1186/1029-242x-2014-12 [8] Çınar M, Karakaş M, Et M. On pointwise and uniform statistical convergence of order α for sequences of functions. Fixed Point Theory and Applications 2013
  6. 1 (2013): 1-11. doi.org/10.1186/1687-1812-2013-33 [9] Di Maio G, Kocinac LDR. Statistical convergence in topology. Topology and its Applications 2008
  7. 156 (1): 28-45. doi:10.1016/j.topol.2008.01.015 [10] Ercan Z. A characterization of u-uniformly completeness of Riesz spaces in terms of statistical u-uniformly precompleteness. Demonstratio Mathematica 2009
  8. 42 (2): 381-385. doi.org/10.1515/dema-2013-0158 [11] Et M, Tripathy BC, Dutta AJ. On pointwise statistical convergence of order α of sequences of fuzzy mappings. Kuwait Journal of Science 2014
  9. 41 (3): 17-30. doi.org/10.2298/fil1406271e [12] Fast H. Sur la convergence statistique. Colloquium Mathematicum 1951
  10. doi.org/10.4064/cm-2-3-4-241- 244 [13] Fridy JA. On statistical convergence. Analysis 1985
  11. 5 (4): 301-313. doi.org/10.1524/anly.1985.5.4.301 [14] Fridy JA, Orhan C. Statistical limit superior and limit inferior. Proceedings of the American Mathematical Society 1997
  12. 125 (12): 3625-3631. doi.org/10.1090/s0002-9939-97-04000-8 [15] Huijsmans CB, Pagter BD. Ideal theory in f -algebras. Transactions of the American Mathematical Society 1982
  13. 269 (1): 225-245. doi.org/10.1090/s0002-99