KaydedilenlerDerginizi ekleyin

Dergiler / Journal of New Results in Science / 2014 / Cilt: 3 - Sayı: 6

On Some New Paranormed Sequence Spaces and Their Topological Properties

Osman Duyar
Sayfa
32–43
Yayın Tarihi
2014-06-01
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)

Finally, we characterize the classes of matrix mappings from the new paranormedsequence spaces to the spaces µ(q) for µ ∈ {c, ,∞}

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, we define new paranormed sequence spaces c0(u, v; p, G) and c(u, v; p, G) by combining a generalized weighted mean and a generalized difference operatorB = B(r, s, t).
📊
Temel Bulgular & Veri:Furthermore, we compute the α− and β− dualsand obtain bases for these sequence spaces.
💡
Sonuç & Katkı:Finally, we characterize the classes of matrix mappings from the new paranormedsequence spaces to the spaces µ(q) for µ ∈ {c, ,∞}
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this study, we define new paranormed sequence spaces c0(u, v; p, G) and c(u, v; p, G) by combining a generalized weighted mean and a generalized difference operatorB = B(r, s, t). Furthermore, we compute the α− and β− dualsand obtain bases for these sequence spaces. Finally, we characterize the classes of matrix mappings from the new paranormedsequence spaces to the spaces µ(q) for µ ∈ {c, ,∞}

🔖

Bu Makaleye Atıf Yap

Duyar, O. (2014). On Some New Paranormed Sequence Spaces and Their Topological Properties. Journal of New Results in Science, Cilt: 3 - Sayı: 6, 32–43. https://ajindex.com/articles/777946

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (16)

  1. C.-S. Wang, On N¨orlund sequence spaces, Tamkang J. Math. 9(1978) 269-274.
  2. P.-N. Ng, P.-Y. Lee, Ces`aro sequence spaces of non-absolute type, Comment. Math. (Prace Mat.) 20(2)(1978) 429-433.
  3. E. Malkowsky, Recent results in the theory of matrix transformations in sequence spaces, Mat. Vesnik 49(1997) 187-196.
  4. A. M. Jarrah and E. Malkowsky, Ordinary, absolute and strong summability and matrix transformations,Filomat 17(2003), 59-78
  5. B. Altay, F. Ba¸sar, Some Euler sequence spaces of non-absolute type, Ukrainian Math. J. 57(1)(2005) 1-17.
  6. B. Altay, F. Ba¸sar, Some paranormed sequence spaces of non-absolute type derived by weighted mean, J. Math. Anal. Appl. 319 (2006), 494-508.
  7. H. Polat, V. Karakaya and N. S¸im¸sek, Difference sequence spaces derived by gen- eralized weighted mean, Appl. Math. Lett. 24(2011), no.5, 608-614.
  8. B. Altay, F. Ba¸sar, Generalization of the space (p) derived by weighted mean, J. Math. Anal. Appl 330 (2007) 174-185.
  9. E. Malkowsky, E. Sava¸s, Matrix transformations between sequence spaces of gen- eralized weighted means, Appl. Math. Comput. 147(2004) 333-345. M. Ba¸sarır, On some new sequence spaces and related matrix transformations, Indian J. Pure Appl. Math. 26(10) (1995) 1003-1010. F. Ba¸sar, B. Altay, M. Mursaleen, Some generalizations of the space bvpof p− bounded variation sequences, Nonlinear Anal. 68(2)(2008) 273-287.
  10. B. Altay, On the space of p− summable difference sequences of order m, (1 ≤ p E. Malkowsky, M. Mursaleen, S. Suantai, The dual spaces of sets of difference sequences of order m and matrix transformations, Acta Math. Sin. Eng. Ser. 23(3)(2007) 521-532.
  11. Demiriz, S., C¸ akan, C., On some new paranormed Euler sequence spaces and Euler core, Acta Math. Sin. Eng. Ser. 26(7)(2010), 1207-1222.
  12. Demiriz, S., ¨ Ozdemir O., Duyar O., On some new generalized difference sequence spaces of non-absolute type, arXiv:1309.3903, 2013.
  13. Duyar O., Demiriz, S., On some new generalized difference sequence spaces and their topological properties, Journal of New Result in Science, 6(2014) 1-14.
  14. B. Altay, F. Ba¸sar, Certain topological properties and duals of the matrix domain of a triangle matrix in a sequence space, J. Math. Anal. Appl. 336(1)(2007) 632- 6 H. Kızmaz, On certain sequence spaces, Canad. Math. Bull. 24(2)(1981) 169-176.
  15. C. Aydın, F. Ba¸sar, Some new sequence spaces which include the spaces pand ∞, Demonstratio Math. 38(3)(2005) 641-656.
  16. C. Aydın, F. Ba¸sar, Some generalizations of the sequence space ar, Iran. J. Sci. p Tech