TY  - JOUR
T1  - Factors for Generalized Matrix Summability
TT  - Factors for Generalized Matrix Summability
AU  - Kartal, Bağdagül
PY  - 2021
DA  - December
JF  - Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi
PB  - Erciyes Üniversitesi
WT  - DergiPark
SN  - 1012-2354
SP  - 462
EP  - 467
VL  - 37
IS  - 3
LA  - en
KW  - Summability factors
N2  - 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.
CR  - Sulaiman, W. T. 2013. Some new factor theorem for absolute summability. Demonstratio Math., 46 (1), 149- 156.
CR  - Özarslan, H. S. 2018. A new study on generalised absolute matrix summability methods. Maejo  Int.  J. Sci.  Technol., 12 (3), 199-205
CR  - Tanović-Miller, N. 1979. On strong summability. Glasnik Mat. Ser. III, 14 (34), 87-97.
CR  - Bor, H. 1993. On absolute summability factors. Proc. Amer. Math. Soc., 118 (1), 71-75.
CR  - Bor, H. 1996. On |\bar{N},p_n|_k  summability factors. Kuwait J. Sci. Eng., 23 (1), 1-5.
CR  - Mazhar, S. M. 1997.  A note on absolute summability factors. Bull. Inst. Math. Acad. Sinica, 25 (3), 233–242.
CR  - Mazhar, S. M. 1999. Absolute summability factors of infinite series. Kyungpook Math. J., 39 (1), 67-73.
CR  - Bor, H. 2000.  An application of almost  increasing  and δ-quasi-monotone sequences.  JIPAM.  J.  Inequal. Pure Appl. Math., 1 (2) Article 18, 6pp.
CR  - Bor, H. 2001.  On absolute Riesz summability factors.  Adv.  Stud.  Contemp.  Math.  (Pusan),  3 (2), 23-29.
CR  - Bor, H. 2007.  A note on absolute Riesz summability factors. Math. Inequal. Appl., 10 (3), 619-625.
CR  - Özarslan, H. S., Öğdük, H. N. 2007. On absolute matrix summability methods. Math. Commun., 12 (2), 213-220.
CR  - Özarslan, H. S. 2010.  A note on |A, p_{n}| _{k}  summability factors. Antarct. J. Math., 7, 23-30.
CR  - Özarslan, H. S., Keten, A. 2013. On a new application of almost increasing sequence.  J. Inequal. Appl., 13, 1-7.
CR  - Özarslan, H. S. 2013.  A new application of almost increasing sequences. Miskolc Math. Notes, 14 (1), 201–208.
CR  - 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.
CR  - Özarslan, H. S. 2015. A new application of absolute matrix summability. C. R. Acad. Bulgare Sci.,  68 (8), 967-972.
CR  - Özarslan, H. S., Şakar, M. Ö.  2015.  A new application of absolute matrix summability.  Math.  Sci.  Appl.  E-Notes, 3 (1), 36-43.
CR  - Özarslan, H. S. 2016. On generalized absolute matrix summability methods. Int. J. Anal. Appl., 12 (1) , 66-70.
CR  - Kartal, B. 2017. On generalized absolute Riesz summability method. Commun. Math. Appl., 8 (3),  359-364.
CR  - Özarslan, H. S., Karakaş, A. 2017.  A new result on the almost increasing sequences. J. Comp. Anal. Appl., 22 (6), 989-998.
CR  - Özarslan, H. S., Kartal, B. 2017. A generalization of a theorem of Bor. J. Inequal. Appl., 179, 1-8.
CR  - Karakaş, A. 2018.  On absolute matrix summability factors of infinite series.  J. Class. Anal., 13 (2), 133–139.
CR  - 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.
CR  - Kartal, B. 2019. New results for almost increasing sequences. Ann. Univ. Paedagog. Crac. Stud. Math., 18, 85-91.
CR  - Özarslan, H. S. 2019. A new factor theorem for absolute matrix summability. Quaest. Math., 42 (6), 803-809.
CR  - 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.
CR  - Özarslan, H. S., Kartal, B. 2020. Absolute matrix summability via almost increasing sequence.  Quaest. Math., 43 (10), 1477–1485.
UR  - http://dergipark.org.tr/tr/pub/erciyesfen/issue//867756
L1  - http://dergipark.org.tr/tr/download/article-file/1531449
ER  -