Research Article
BibTex RIS Cite

Factors for Generalized Matrix Summability

Year 2021, Volume: 37 Issue: 3, 462 - 467, 30.12.2021

Bağdagül Kartal

Abstract

Keywords

Summability factors

References

  • Sulaiman, W. T. 2013. Some new factor theorem for absolute summability. Demonstratio Math., 46 (1), 149- 156.
  • Özarslan, H. S. 2018. A new study on generalised absolute matrix summability methods. Maejo Int. J. Sci. Technol., 12 (3), 199-205
  • Tanović-Miller, N. 1979. On strong summability. Glasnik Mat. Ser. III, 14 (34), 87-97.
  • Bor, H. 1993. On absolute summability factors. Proc. Amer. Math. Soc., 118 (1), 71-75.
  • Bor, H. 1996. On |\bar{N},p_n|_k summability factors. Kuwait J. Sci. Eng., 23 (1), 1-5.
  • Mazhar, S. M. 1997. A note on absolute summability factors. Bull. Inst. Math. Acad. Sinica, 25 (3), 233–242.
  • Mazhar, S. M. 1999. Absolute summability factors of infinite series. Kyungpook Math. J., 39 (1), 67-73.
  • Bor, H. 2000. An application of almost increasing and δ-quasi-monotone sequences. JIPAM. J. Inequal. Pure Appl. Math., 1 (2) Article 18, 6pp.
  • Bor, H. 2001. On absolute Riesz summability factors. Adv. Stud. Contemp. Math. (Pusan), 3 (2), 23-29.
  • Bor, H. 2007. A note on absolute Riesz summability factors. Math. Inequal. Appl., 10 (3), 619-625.
  • Özarslan, H. S., Öğdük, H. N. 2007. On absolute matrix summability methods. Math. Commun., 12 (2), 213-220.
  • Özarslan, H. S. 2010. A note on |A, p_{n}| _{k} summability factors. Antarct. J. Math., 7, 23-30.
  • Özarslan, H. S., Keten, A. 2013. On a new application of almost increasing sequence. J. Inequal. Appl., 13, 1-7.
  • Özarslan, H. S. 2013. A new application of almost increasing sequences. Miskolc Math. Notes, 14 (1), 201–208.
  • 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.
  • Özarslan, H. S. 2015. A new application of absolute matrix summability. C. R. Acad. Bulgare Sci., 68 (8), 967-972.
  • Özarslan, H. S., Şakar, M. Ö. 2015. A new application of absolute matrix summability. Math. Sci. Appl. E-Notes, 3 (1), 36-43.
  • Özarslan, H. S. 2016. On generalized absolute matrix summability methods. Int. J. Anal. Appl., 12 (1) , 66-70.
  • Kartal, B. 2017. On generalized absolute Riesz summability method. Commun. Math. Appl., 8 (3), 359-364.
  • Özarslan, H. S., Karakaş, A. 2017. A new result on the almost increasing sequences. J. Comp. Anal. Appl., 22 (6), 989-998.
  • Özarslan, H. S., Kartal, B. 2017. A generalization of a theorem of Bor. J. Inequal. Appl., 179, 1-8.
  • Karakaş, A. 2018. On absolute matrix summability factors of infinite series. J. Class. Anal., 13 (2), 133–139.
  • Karakaş, A. 2018. N note on absolute summability method involving almost increasing and δ-quasi-monotone sequences. Int. J. Math. Comput. Sci., 13 (1), 73-81.
  • Kartal, B. 2019. New results for almost increasing sequences. Ann. Univ. Paedagog. Crac. Stud. Math., 18, 85-91.
  • Özarslan, H. S. 2019. A new factor theorem for absolute matrix summability. Quaest. Math., 42 (6), 803-809.
  • Özarslan, H. S. 2019. An application of absolute matrix summability using almost increasing and δ-quasi-monotone sequences. Kyungpook Math. J., 59 (2), 233-240.
  • Özarslan, H. S., Kartal, B. 2020. Absolute matrix summability via almost increasing sequence. Quaest. Math., 43 (10), 1477–1485.

Factors for Generalized Matrix Summability

Year 2021, Volume: 37 Issue: 3, 462 - 467, 30.12.2021

Bağdagül Kartal

Abstract

In [1], Sulaiman has proved a theorem dealing with |A|_{k} summability of the series \sum a_{n} \lambda_n X_n. In the present paper, generalized absolute matrix summability has been studied. The known theorem on |A|_{k} summability has been generalized to the {\varphi}-|A;\delta|_{k} summability method under some suitable conditions.

Keywords

summability factors absolute matrix summability infinite series Hölder's inequality Minkowski's inequality

References

  • Sulaiman, W. T. 2013. Some new factor theorem for absolute summability. Demonstratio Math., 46 (1), 149- 156.
  • Özarslan, H. S. 2018. A new study on generalised absolute matrix summability methods. Maejo Int. J. Sci. Technol., 12 (3), 199-205
  • Tanović-Miller, N. 1979. On strong summability. Glasnik Mat. Ser. III, 14 (34), 87-97.
  • Bor, H. 1993. On absolute summability factors. Proc. Amer. Math. Soc., 118 (1), 71-75.
  • Bor, H. 1996. On |\bar{N},p_n|_k summability factors. Kuwait J. Sci. Eng., 23 (1), 1-5.
  • Mazhar, S. M. 1997. A note on absolute summability factors. Bull. Inst. Math. Acad. Sinica, 25 (3), 233–242.
  • Mazhar, S. M. 1999. Absolute summability factors of infinite series. Kyungpook Math. J., 39 (1), 67-73.
  • Bor, H. 2000. An application of almost increasing and δ-quasi-monotone sequences. JIPAM. J. Inequal. Pure Appl. Math., 1 (2) Article 18, 6pp.
  • Bor, H. 2001. On absolute Riesz summability factors. Adv. Stud. Contemp. Math. (Pusan), 3 (2), 23-29.
  • Bor, H. 2007. A note on absolute Riesz summability factors. Math. Inequal. Appl., 10 (3), 619-625.
  • Özarslan, H. S., Öğdük, H. N. 2007. On absolute matrix summability methods. Math. Commun., 12 (2), 213-220.
  • Özarslan, H. S. 2010. A note on |A, p_{n}| _{k} summability factors. Antarct. J. Math., 7, 23-30.
  • Özarslan, H. S., Keten, A. 2013. On a new application of almost increasing sequence. J. Inequal. Appl., 13, 1-7.
  • Özarslan, H. S. 2013. A new application of almost increasing sequences. Miskolc Math. Notes, 14 (1), 201–208.
  • 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.
  • Özarslan, H. S. 2015. A new application of absolute matrix summability. C. R. Acad. Bulgare Sci., 68 (8), 967-972.
  • Özarslan, H. S., Şakar, M. Ö. 2015. A new application of absolute matrix summability. Math. Sci. Appl. E-Notes, 3 (1), 36-43.
  • Özarslan, H. S. 2016. On generalized absolute matrix summability methods. Int. J. Anal. Appl., 12 (1) , 66-70.
  • Kartal, B. 2017. On generalized absolute Riesz summability method. Commun. Math. Appl., 8 (3), 359-364.
  • Özarslan, H. S., Karakaş, A. 2017. A new result on the almost increasing sequences. J. Comp. Anal. Appl., 22 (6), 989-998.
  • Özarslan, H. S., Kartal, B. 2017. A generalization of a theorem of Bor. J. Inequal. Appl., 179, 1-8.
  • Karakaş, A. 2018. On absolute matrix summability factors of infinite series. J. Class. Anal., 13 (2), 133–139.
  • Karakaş, A. 2018. N note on absolute summability method involving almost increasing and δ-quasi-monotone sequences. Int. J. Math. Comput. Sci., 13 (1), 73-81.
  • Kartal, B. 2019. New results for almost increasing sequences. Ann. Univ. Paedagog. Crac. Stud. Math., 18, 85-91.
  • Özarslan, H. S. 2019. A new factor theorem for absolute matrix summability. Quaest. Math., 42 (6), 803-809.
  • Özarslan, H. S. 2019. An application of absolute matrix summability using almost increasing and δ-quasi-monotone sequences. Kyungpook Math. J., 59 (2), 233-240.
  • Özarslan, H. S., Kartal, B. 2020. Absolute matrix summability via almost increasing sequence. Quaest. Math., 43 (10), 1477–1485.
There are 27 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Bağdagül Kartal 0000-0001-6223-0838

Publication Date December 30, 2021
Published in Issue Year 2021 Volume: 37 Issue: 3

Cite

APA Kartal, B. (2021). Factors for Generalized Matrix Summability. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi, 37(3), 462-467.
AMA Kartal B. Factors for Generalized Matrix Summability. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi. December 2021;37(3):462-467.
Chicago Kartal, Bağdagül. “Factors for Generalized Matrix Summability”. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi 37, no. 3 (December 2021): 462-67.
EndNote Kartal B (December 1, 2021) Factors for Generalized Matrix Summability. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi 37 3 462–467.
IEEE B. Kartal, “Factors for Generalized Matrix Summability”, Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi, vol. 37, no. 3, pp. 462–467, 2021.
ISNAD Kartal, Bağdagül. “Factors for Generalized Matrix Summability”. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi 37/3 (December 2021), 462-467.
JAMA Kartal B. Factors for Generalized Matrix Summability. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi. 2021;37:462–467.
MLA Kartal, Bağdagül. “Factors for Generalized Matrix Summability”. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi, vol. 37, no. 3, 2021, pp. 462-7.
Vancouver Kartal B. Factors for Generalized Matrix Summability. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi. 2021;37(3):462-7.
 Download Cover Image

✯ Etik kurul izni gerektiren, tüm bilim dallarında yapılan araştırmalar için etik kurul onayı alınmış olmalı, bu onay makalede belirtilmeli ve belgelendirilmelidir.
✯ Etik kurul izni gerektiren araştırmalarda, izinle ilgili bilgilere (kurul adı, tarih ve sayı no) yöntem bölümünde, ayrıca makalenin ilk/son sayfalarından birinde; olgu sunumlarında, bilgilendirilmiş gönüllü olur/onam formunun imzalatıldığına dair bilgiye makalede yer verilmelidir.
✯ Dergi web sayfasında, makalelerde Araştırma ve Yayın Etiğine uyulduğuna dair ifadeye yer verilmelidir.
✯ Dergi web sayfasında, hakem, yazar ve editör için ayrı başlıklar altında etik kurallarla ilgili bilgi verilmelidir.
✯ Dergide ve/veya web sayfasında, ulusal ve uluslararası standartlara atıf yaparak, dergide ve/veya web sayfasında etik ilkeler ayrı başlık altında belirtilmelidir. Örneğin; dergilere gönderilen bilimsel yazılarda, ICMJE (International Committee of Medical Journal Editors) tavsiyeleri ile COPE (Committee on Publication Ethics)’un Editör ve Yazarlar için Uluslararası Standartları dikkate alınmalıdır.
✯ Kullanılan fikir ve sanat eserleri için telif hakları düzenlemelerine riayet edilmesi gerekmektedir.