Factors for Generalized Matrix Summability

Kartal, Bağdagül

Factors for Generalized Matrix Summability

Bağdagül KARTAL (Erciyes Üniversitesi, Fen Fakültesi, Matematik Bölümü, Kayseri, Türkiye)

Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi

3 2

Yıl: 2021 Cilt: 37 Sayı: 3 Sayfa Aralığı: 461 - 468 Metin Dili: İngilizce İndeks Tarihi: 22-05-2022

Factors for Generalized Matrix Summability

Öz:

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.

Anahtar Kelime:

Genelleştirilmiş Matris Toplanabilme için Çarpanlar

Öz:

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

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

[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.
[4] Bor, H. 1993. On absolute summability factors. Proc. Amer. Math. Soc., 118 (1), 71-75.
[5] Bor, H. 1996. On ${left|overline{N,;};rho_nright|}_k$ summability factors. Kuwait J. Sci. Eng., 23 (1), 1-5.
[6] Mazhar, S. M. 1997. A note on absolute summability factors. Bull. Inst. Math. Acad. Sinica, 25 (3), 233–242.
[7] Mazhar, S. M. 1999. Absolute summability factors of infinite series. Kyungpook Math. J., 39 (1), 67-73.
[8] Bor, H. 2000. An application of almost increasing and δ-quasi-monotone sequences. JIPAM. J. Inequal. Pure Appl. Math., 1 (2) Article 18, 6pp.
[9] Bor, H. 2001. On absolute Riesz summability factors. Adv. Stud. Contemp. Math. (Pusan), 3 (2), 23-29.
[10] Bor, H. 2007. A note on absolute Riesz summability factors. Math. Inequal. Appl., 10 (3), 619-625.
[11] Özarslan, H. S., Öğdük, H. N. 2007. On absolute matrix summability methods. Math. Commun., 12 (2), 213- 220.
[12] Özarslan, H. S. 2010. A note on ${left|A,;rho_nright|}_k$ summability factors. Antarct. J. Math., 7, 23-30.
[13] Özarslan, H. S. 2013. A new application of almost increasing sequences. Miskolc Math. Notes, 14 (1), 201– 208.
[14] Özarslan, H. S., Keten, A. 2013. On a new application of almost increasing sequence. J. Inequal. Appl., 13, 1-7.
[15] Özarslan, H. S., Yavuz, E. 2013. A new note on absolute matrix summability. J. Inequal. Appl., 474, 1-7.
[16] 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.
[17] Özarslan, H. S., Yavuz, E. 2014. New theorems for absolute matrix summability factors. Gen. Math. Notes, 23(2), 63-70.
[18] Özarslan, H. S. 2015. A new application of absolute matrix summability. C. R. Acad. Bulgare Sci., 68 (8), 967- 972.
[19] Özarslan, H. S., Şakar, M. Ö. 2015. A new application of absolute matrix summability. Math. Sci. Appl. E- Notes, 3 (1), 36-43.
[20] Özarslan, H. S. 2016. On generalized absolute matrix summability methods. Int. J. Anal. Appl., 12 (1) , 66-70.
[21] Kartal, B. 2017. On generalized absolute Riesz summability method. Commun. Math. Appl., 8 (3), 359-364.
[22] Özarslan, H. S., Karakaş, A. 2017. A new result on the almost increasing sequences. J. Comp. Anal. Appl., 22 (6), 989-998.
[23] Özarslan, H. S., Kartal, B. 2017. A generalization of a theorem of Bor. J. Inequal. Appl., 179, 1-8.
[24] Karakaş, A. 2018. On absolute matrix summability factors of infinite series. J. Class. Anal., 13 (2), 133–139.
[25] 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.
[26] Kartal, B. 2019. New results for almost increasing sequences. Ann. Univ. Paedagog. Crac. Stud. Math., 18, 85- 91.
[27] Özarslan, H. S. 2019. A new factor theorem for absolute matrix summability. Quaest. Math., 42 (6), 803-809.
[28] 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.
[29] Özarslan, H. S., Kartal, B. 2020. Absolute matrix summability via almost increasing sequence. Quaest. Math., 43 (10), 1477–1485.

APA	Kartal B (2021). Factors for Generalized Matrix Summability. , 461 - 468.
Chicago	Kartal Bağdagül Factors for Generalized Matrix Summability. (2021): 461 - 468.
MLA	Kartal Bağdagül Factors for Generalized Matrix Summability. , 2021, ss.461 - 468.
AMA	Kartal B Factors for Generalized Matrix Summability. . 2021; 461 - 468.
Vancouver	Kartal B Factors for Generalized Matrix Summability. . 2021; 461 - 468.
IEEE	Kartal B "Factors for Generalized Matrix Summability." , ss.461 - 468, 2021.
ISNAD	Kartal, Bağdagül. "Factors for Generalized Matrix Summability". (2021), 461-468.

APA	Kartal B (2021). Factors for Generalized Matrix Summability. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 37(3), 461 - 468.
Chicago	Kartal Bağdagül Factors for Generalized Matrix Summability. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi 37, no.3 (2021): 461 - 468.
MLA	Kartal Bağdagül Factors for Generalized Matrix Summability. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.37, no.3, 2021, ss.461 - 468.
AMA	Kartal B Factors for Generalized Matrix Summability. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2021; 37(3): 461 - 468.
Vancouver	Kartal B Factors for Generalized Matrix Summability. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2021; 37(3): 461 - 468.
IEEE	Kartal B "Factors for Generalized Matrix Summability." Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 37, ss.461 - 468, 2021.
ISNAD	Kartal, Bağdagül. "Factors for Generalized Matrix Summability". Erciyes Üniversitesi Fen Bilimleri Enstitüsü Dergisi 37/3 (2021), 461-468.