Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2013 / Cilt: 62 - Sayı: 1

Survey on the domain of the matrix lambda in the normed and paranormed sequence spaces

Sayfa
45–59
Yayın Tarihi
2013-02-01
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 record some open problems and further suggestions related with A summability.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In the present paper, we summarize the literature on the normed and paranormed sequence spaces derived by the domain of the matrix lambda.
📊
Temel Bulgular & Veri:Moreover, we establish some inclusion relations concerning with those spaces and determine their alpha-, beta- and gamma-duals.
💡
Sonuç & Katkı:Finally, we record some open problems and further suggestions related with A summability.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Normed and paranormed sequence spaces · matrix domain · trianglematrices

Abstract

In the present paper, we summarize the literature on the normed and paranormed sequence spaces derived by the domain of the matrix lambda. Moreover, we establish some inclusion relations concerning with those spaces and determine their alpha-, beta- and gamma-duals. Finally, we record some open problems and further suggestions related with A summability.

🔖

Bu Makaleye Atıf Yap

BAŞAR, F. (2013). Survey on the domain of the matrix lambda in the normed and paranormed sequence spaces. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 62 - Sayı: 1, 45–59. https://ajindex.com/articles/747401

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (11)

  1. B. Altay, On the space of p-summable diğ erence sequences of order m, (1 p B. Altay, F. Ba¸sar, On the paranormed Riesz sequence spaces of non-absolute type, Southeast Asian Bull. Math. 26(5)(2002), 701–715.
  2. B. Altay, F. Ba¸sar, Some Euler sequence spaces of non-absolute type, Ukrainian Math. J. 57(1)(2005), 1–17.
  3. B. Altay, F. Ba¸sar, Some paranormed Riesz sequence spaces of non-absolute type, Southeast Asian Bull. Math. 30(5)(2006), 591–608.
  4. B. Altay, F. Ba¸sar, Some paranormed sequence spaces of non-absolute type derived by weighted mean, J. Math. Anal. Appl. 319(2)(2006), 494–508.
  5. B. Altay, F. Ba¸sar, Generalization of the sequence space `(p) derived by weighted mean, ibid. 330(1)(2007), 174–185.
  6. B. Altay, F. Ba¸sar, Certain topological properties and duals of the matrix domain of a triangle matrix in a sequence space, ibid. 336(1)(2007), 632–645.
  7. B. Altay, F. Ba¸sar, The matrix domain and the …ne spectrum of the diğ erence operator on the sequence space `p, (0 C. Aydın, F. Ba¸sar, On the new sequence spaces which include the spaces c0and c, Hokkaido Math. J. 33(2)(2004), 383–398.
  8. C. Aydın, F. Ba¸sar, Some new paranormed sequence spaces, Inform. Sci. 160(1-4)(2004), 27–40. C. Aydın,F. Ba¸sar,Some new diğ erence sequence spaces, Appl. Math. Comput. 157(3)(2004), 677–693.
  9. C. Aydın, F. Ba¸sar, Some new sequence spaces which include the spaces `pand `1, Demon- stratio Math. 38(3)(2005), 641–656.
  10. C. Aydın, F. Ba¸sar, Some generalizations of the sequence space ar, Iran. J. Sci. Technol. p Trans. A, Sci. 30(2006), No. A2, 175–190. F. Ba¸sar, Summability Theory and Its Applications, Bentham Science Publishers, e-books, Monographs, ·Istanbul-2012. F. Ba¸sar, B. Altay, On the space of sequences of p-bounded variation and related matrix mappings, Ukrainian Math. J. 55(1)(2003), 136–147. F. Ba¸sar, B. Altay, M. Mursaleen, Some generalizations of the space bvpof p-bounded vari- ation sequences, Nonlinear Anal. 68(2)(2008), 273–287. M. Ba¸sarır, On some new sequence spaces and related matrix transformations, Indian J. Pure Appl. Math. 26(10)(1995), 1003–1010. M. Ba¸sarır, On the generalized Riesz B-diğ erence sequence spaces, Filomat 24(4)(2010), 35–52. M. Ba¸sarır, M. Kayıkçı, On the generalized Bm-Riesz sequence space and -property, J. Inequal. Appl. 2009 (2009), Article ID 385029, 18 pp. M. Ba¸sarır, M. Öztürk, On the Riesz diğ erence sequence space, Rend. Circ. Mat. Palermo (2)57(2008), no. 3, 377–389.
  11. E.E. Kara, M. Ba¸sarır, On compact operators and some Euler B