A New Study on Generalized Absolute Matrix Summability

Authors

  • Hikmet Seyhan í–zarslan Department of Mathematics, Erciyes University, Kayseri

DOI:

https://doi.org/10.26713/cma.v7i4.468

Keywords:

Summability factors, absolute matrix summability, almost increasing sequence, infinite series, H\"{o}lder inequality, Minkowski inequality.

Abstract

In this paper, a general theorem on \(| A,p_{n};\delta|_{k}\) summability factors, which generalizes a theorem of Bor [4] on \(|\bar{N},p_{n}|_{k}\) summability factors, has been proved by using almost increasing sequences.

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References

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H.S. í–zarslan and H.N. í–gdük, Generalizations of two theorems on absolute summability methods, Aust. J. Math. Anal. Appl. 1 (2004), Article 13, 7 pages.

H.S. í–zarslan, A new application of absolute matrix summability, C.R. Acad. Bulgare Sci. 68 (2015), 967–972.

W.T. Sulaiman, Inclusion theorems for absolute matrix summability methods of an infinite series (IV), Indian J. Pure Appl. Math. 34 (11) (2003), 1547–1557.

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Published

31-12-2016
CITATION

How to Cite

í–zarslan, H. S. (2016). A New Study on Generalized Absolute Matrix Summability. Communications in Mathematics and Applications, 7(4), 303–309. https://doi.org/10.26713/cma.v7i4.468

Issue

Vol. 7 No. 4 (2016)

Section

Research Article

License

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