KaydedilenlerDerginizi ekleyin

Dergiler / Mathematical Sciences and Applications E-Notes / 2020 / Cilt: 8 - Sayı: 2

4-Dimensional Euler-Totient Matrix Operator and Some Double Sequence Spaces

Serkan Demiriz
Sezer Erdem
Sayfa
110–122
Yayın Tarihi
2022-10-19
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, the α−, β(ϑ)− and γ−duals of these spaces are determined and finally, some matrix classes are characterized.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Our main purpose in this study is to investigate the matrix domains of the 4-dimensional Euler-totient matrix operator on the classical double sequence spaces Mu, Cp, Cbp and Cr.
📊
Temel Bulgular & Veri:Besides these, we examine their topological and algebraic properties and give inclusion relations about the new spaces.
💡
Sonuç & Katkı:Also, the α−, β(ϑ)− and γ−duals of these spaces are determined and finally, some matrix classes are characterized.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

Our main purpose in this study is to investigate the matrix domains of the 4-dimensional Euler-totient matrix operator on the classical double sequence spaces Mu, Cp, Cbp and Cr. Besides these, we examine their topological and algebraic properties and give inclusion relations about the new spaces. Also, the α−, β(ϑ)− and γ−duals of these spaces are determined and finally, some matrix classes are characterized.

🔖

Bu Makaleye Atıf Yap

Demiriz, S., Erdem, S. (2022). 4-Dimensional Euler-Totient Matrix Operator and Some Double Sequence Spaces. Mathematical Sciences and Applications E-Notes, Cilt: 8 - Sayı: 2, 110–122. https://ajindex.com/articles/578835

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (19)

  1. Adams, C.R.: On non-factorable transformations of double sequences. Proc. Natl. Acad. Sci. USA. 19 (5), 564-567 (1933)
  2. Alp, P.Z., ˙Ilkhan, M.: On the difference sequence space `p(Tˆp ). Math. Sci. Appl. E-Notes. 7 (2), 161-173 (2019)
  3. Altay, B., Başar, F.: Some new spaces of double sequences. J. Math. Anal. Appl. 309 (1), 70-90 (2005)
  4. Bas. ar, F.: Summability Theory and Its Applications. Bentham Science Publishers. e-book. Monographs. Istanbul (2012)
  5. Başar, F., Sever, Y.: The space Lq of double sequences. Math. J. Okayama Univ. 51, 149-157 (2009)
  6. Boss, J.: Classical and Modern Methods in Summability. Oxford University Press. Newyork, (2000)
  7. Candan, M.: A New Approarch on the Spaces of Generalized Fibonacci Difference Null and Convergent Sequences. Math. Aeterna. 5 (1), 191-210 (2015)
  8. Candan, M., Güneş, A.: Paranormed sequence space of non-absolute type founded using generalized difference matrix. Proceedings of the National Academy of Sciences. India Section A. 85 (2), 269-276 (2015)
  9. Candan, M.: Some new sequence spaces derived from the spaces of bounded, convergent and null sequences. Int. J. Mod. Math. Sci. 12 (2), 74-87 (2014)
  10. Candan, M.: A new perspective on paranormed Riesz sequence space of non-absolute type. Global J. Math. Anal. 3 (4), 150-163 (2015)
  11. Cooke, R.C.: Infinite Matrices and Sequence Spaces. Macmillan and Co. Limited. London (1950)
  12. Çakan, C., Altay, B., Mursaleen, M.: The σ-convergence and σ-core of double sequences. Appl. Math. Lett. 19, 387-399 (2006)
  13. Demiriz, S., Duyar, O.: Domain of the Cesàro mean matrix in some paranormed spaces of double sequences. Contemp. Anal. Appl. Math. 3 (2), 247-262 (2015)
  14. Demiriz, S., Erdem, S.: Domain of Euler-Totient Matrix Operator in the Space Lp. Korean J. Math. 28 (2), 361-378 (2020)
  15. Güleç, G.C.H., İlkhan, M.: A New Paranormed Series Space Using Euler Totient Means and Some Matrix Transformations. Korean J. Math. 28 (2), 205-221 (2020)
  16. Hamilton, H.J.: Transformations of multiple sequences. Duke Math. J. 2, 29-60 (1936)
  17. İlkhan, M.: Matrix domain of a regular matrix derived by Euler totient function in the spaces c0 and c. Mediterr. J. Math. 17, Article No: 27 (2020)
  18. İlkhan, M., Kara, E. E.: A New Banach Space Defined by Euler Totient Matrix Operator. Operators and Matrices. 13 (2), 527-544 (2019)
  19. İlkhan, M., Demiriz, S., Kara, E. E.: A new paranormed sequence space defined by Euler totient matrix. Kar