SavedAdd your journal

Journals / Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2021 / Cilt: 37 - Sayı: 3

Factors for Generalized Matrix Summability

Genelleştirilmiş Matris Toplanabilme için Çarpanlar

Bağdagül KARTAL
Pages
461–468
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The known theorem on${left|Aright|}_k$ summability has been generalized to the$varphi-{left|A;mathcal Sright|}_k$ summability method under some suitable conditions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In [1], Sulaiman has proved a theorem dealing with${left|Aright|}_k$ summability of theseries${textstylesum_{}}a_nlambda_nchi_n$ .
📊
Key Findings & Data:In the present paper, generalized absolute matrix summability hasbeen studied.
💡
Conclusion & Impact:The known theorem on${left|Aright|}_k$ summability has been generalized to the$varphi-{left|A;mathcal Sright|}_k$ summability method under some suitable conditions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In [1], Sulaiman has proved a theorem dealing with${left|Aright|}_k$ summability of theseries${textstylesum_{}}a_nlambda_nchi_n$ . In the present paper, generalized absolute matrix summability hasbeen studied. The known theorem on${left|Aright|}_k$ summability has been generalized to the$varphi-{left|A;mathcal Sright|}_k$ summability method under some suitable conditions.

Özet

Sulaiman [1],${textstylesum_{}}a_nlambda_nchi_n$ serisinin${left|Aright|}_k$ toplanabilmesi ile ilgili bir teoremispatlamıştır. Bu makalede genelleştirilmiş mutlak matris toplanabilme çalışılmıştır.${left|Aright|}_k$ toplanabilme üzerine bilinen teorem uygun bazı şartlar altında$varphi-{left|A;mathcal Sright|}_k$ toplanabilmemetoduna genelleştirilmiştir

🔖

Cite This Article

KARTAL, B. (2022). Factors for Generalized Matrix Summability. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 37 - Sayı: 3, 461–468. https://ajindex.com/articles/503219

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (21)

  1. Sulaiman, W. T. 2013. Some new factor theorem for absolute summability. Demonstratio Math., 46 (1), 149- 156
  2. Özarslan, H. S. 2018. A new study on generalised absolute matrix summability methods. Maejo Int. J. Sci. Technol., 12 (3), 199-205 [3] Tanović-Miller, N. 1979. On strong summability. Glasnik Mat. Ser. III, 14 (34), 87-97
  3. Bor, H. 1993. On absolute summability factors. Proc. Amer. Math. Soc., 118 (1), 71-75
  4. Bor, H. 1996. On ${left|overline{N,;};rho_nright|}_k$ summability factors. Kuwait J. Sci. Eng., 23 (1), 1-5
  5. Mazhar, S. M. 1997. A note on absolute summability factors. Bull. Inst. Math. Acad. Sinica, 25 (3), 233–242
  6. Mazhar, S. M. 1999. Absolute summability factors of infinite series. Kyungpook Math. J., 39 (1), 67-73
  7. Bor, H. 2000. An application of almost increasing and δ-quasi-monotone sequences. JIPAM. J. Inequal. Pure Appl. Math., 1 (2) Article 18, 6pp
  8. Bor, H. 2001. On absolute Riesz summability factors. Adv. Stud. Contemp. Math. (Pusan), 3 (2), 23-29
  9. Bor, H. 2007. A note on absolute Riesz summability factors. Math. Inequal. Appl., 10 (3), 619-625
  10. Özarslan, H. S., Öğdük, H. N. 2007. On absolute matrix summability methods. Math. Commun., 12 (2), 213- 220
  11. Özarslan, H. S. 2010. A note on ${left|A,;rho_nright|}_k$ summability factors. Antarct. J. Math., 7, 23-30
  12. Özarslan, H. S. 2013. A new application of almost increasing sequences. Miskolc Math. Notes, 14 (1), 201– 208
  13. Özarslan, H. S., Keten, A. 2013. On a new application of almost increasing sequence. J. Inequal. Appl., 13, 1-7
  14. Özarslan, H. S., Yavuz, E. 2013. A new note on absolute matrix summability. J. Inequal. Appl., 474, 1-7
  15. Özarslan, H. S. 2014. A note on generalized absolute Riesz summability. An. Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.), 60 (1), 51-56
  16. Özarslan, H. S., Yavuz, E. 2014. New theorems for absolute matrix summability factors. Gen. Math. Notes, 23(2), 63-70
  17. Özarslan, H. S. 2015. A new application of absolute matrix summability. C. R. Acad. Bulgare Sci., 68 (8), 967- 972
  18. Özarslan, H. S., Şakar, M. Ö. 2015. A new application of absolute matrix summability. Math. Sci. Appl. E- Notes, 3 (1), 36-43
  19. Özarslan, H. S. 2016. On generalized absolute matrix summability methods. Int. J. Anal. Appl., 12 (1), 66-70
  20. Kartal, B. 2017. On generalized absolute Riesz summability method. Commun. Math. Appl., 8 (3), 359-364
  21. Özarslan, H. S., Karakaş, A. 2017. A new result on the almos