A Theorem on Absolute Summability of Infinite Series

Bağdagül Kartal

doi:10.17776/csj.537767

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A Theorem on Absolute Summability of Infinite Series

Abstract

In this paper, a theorem on absolute summability of infinite series is obtained by taking almost increasing sequence instead of positive non-decreasing sequence. Also, some results of absolute summability are given.

Keywords

Riesz mean,absolute summability,almost increasing sequence,Hölder inequality,Minkowski inequality

References

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[4] Bor H., On Local Property of Summability of Factored Fourier Series, J. Math. Anal. Appl., 179-2 (1993) 646-649.
[5] Bor H., On Two Summability Methods, Math. Proc. Cambridge Philos. Soc., 97-1 (1985) 147-149.
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[7] Bor H., A Note on Absolute Summability Factors, Internat. J. Math. Math. Sci., 17-3 (1994) 479-482.
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[9] Bor H. and Özarslan H.S., On Absolute Riesz Summability Factors, J. Math. Anal. Appl., 246-2 (2000) 657-663.
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[16] Özarslan H.S., A Note on Summability Factors, Indian J. Pure Appl. Math., 33-3 (2002) 361-366.
[17] Özarslan H.S., A Note on Quasi Power Increasing Sequences, Indian J. Pure Appl. Math., 34-5 (2003) 727–732.
[18] Özarslan H.S., On Summability Factors, Kyungpook Math. J., 43-1 (2003) 107-112.
[19] Seyhan H. and Sönmez A., On Summability Factors, Portugal. Math., 54-4 (1997) 393-398.
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Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Bağdagül Kartal ^*
0000-0001-6223-0838
Türkiye

Publication Date

September 30, 2019

Submission Date

March 9, 2019

Acceptance Date

July 8, 2019

Published in Issue

Year 2019 Volume: 40 Number: 3

DOI

https://doi.org/10.17776/csj.537767

IZ

https://izlik.org/JA33LC56XA

Cite

RIS / Bibtex

APA

Kartal, B. (2019). A Theorem on Absolute Summability of Infinite Series. Cumhuriyet Science Journal, 40(3), 563-569. https://doi.org/10.17776/csj.537767

AMA

1.Kartal B. A Theorem on Absolute Summability of Infinite Series. CSJ. 2019;40(3):563-569. doi:10.17776/csj.537767

Chicago

Kartal, Bağdagül. 2019. “A Theorem on Absolute Summability of Infinite Series”. Cumhuriyet Science Journal 40 (3): 563-69. https://doi.org/10.17776/csj.537767.

EndNote

Kartal B (September 1, 2019) A Theorem on Absolute Summability of Infinite Series. Cumhuriyet Science Journal 40 3 563–569.

IEEE

[1]B. Kartal, “A Theorem on Absolute Summability of Infinite Series”, CSJ, vol. 40, no. 3, pp. 563–569, Sept. 2019, doi: 10.17776/csj.537767.

ISNAD

Kartal, Bağdagül. “A Theorem on Absolute Summability of Infinite Series”. Cumhuriyet Science Journal 40/3 (September 1, 2019): 563-569. https://doi.org/10.17776/csj.537767.

JAMA

1.Kartal B. A Theorem on Absolute Summability of Infinite Series. CSJ. 2019;40:563–569.

MLA

Kartal, Bağdagül. “A Theorem on Absolute Summability of Infinite Series”. Cumhuriyet Science Journal, vol. 40, no. 3, Sept. 2019, pp. 563-9, doi:10.17776/csj.537767.

Vancouver

1.Bağdagül Kartal. A Theorem on Absolute Summability of Infinite Series. CSJ. 2019 Sep. 1;40(3):563-9. doi:10.17776/csj.537767

Cited By

On Necessary and Sufficient Conditions for Absolute Matrix Summability

Earthline Journal of Mathematical Sciences

https://doi.org/10.34198/ejms.12123.112

Ces\`aro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences

Journal of New Theory

https://doi.org/10.53570/jnt.1185603

A Theorem on Absolute Summability of Infinite Series

Abstract

Keywords

Sonsuz Serilerin Mutlak Toplanabilmesi Üzerine Bir Teorem

Abstract

Keywords

References

Details

Primary Language

Subjects

Journal Section

Authors

Publication Date

Submission Date

Acceptance Date

Published in Issue

DOI

IZ

Cite

Cited By

On Necessary and Sufficient Conditions for Absolute Matrix Summability

Ces\`aro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences