A Note on Summability of Infinite Series

  • Hikmet Seyhan Özarslan Department of Mathematics, Erciyes University, 38039 Kayseri, Turkey
  • Bağdagül Kartal Erdoğan Department of Mathematics, Erciyes University, 38039 Kayseri, Turkey
Keywords: absolute matrix summability, summability factors, infinite series

Abstract

The purpose of the present paper is to get the necessary and sufficient conditions for absolute matrix summability of infinite series.

References

Özarslan, H. S. (2018). A new study on generalised absolute matrix summability methods. Maejo Int. J. Sci. Technol., 12(3), 199-205. https://doi.org/10.14456/mijst.2018.13

Özarslan, H. S., & Kandefer, T. (2009). On the relative strength of two absolute summability methods. J. Comput. Anal. Appl., 11(3), 576-583.

Cooke, R. G. (1950). Infinite matrices and sequence spaces. Macmillan & Co. Limited.

Sargent, W. L. C. (1960). Some sequence spaces related to the IP spaces. J. London Math. Soc., 35, 161-171. https://doi.org/10.1112/jlms/s1-35.2.161

Karakaş, A. (2018). On absolute matrix summability factors of infinite series. J. Class. Anal., 13(2), 133-139. https://doi.org/10.7153/jca-2018-13-09

Karakaş, A. (2022). A study on generalized absolute matrix summability. Cumhuriyet Sci. J., 43(2), 316-320. https://doi.org/10.17776/csj.1018894

Kartal, B. (2019). On an extension of absolute summability. Konuralp J. Math., 7(2), 433-437.

Kartal, B. (2021). Factors for generalized matrix summability. Erc. Unv. J. Inst. Sci. and Tech., 37(3), 462-467.

Özarslan, H. S. (2019). An application of absolute matrix summability using almost increasing and 8-quasi-monotone sequences. Kyungpook Math. J., 59(2), 233-240.

Özarslan, H. S. (2019). A new factor theorem for absolute matrix summability. Quaest. Math., 42(6), 803-809. https://doi.org/10.2989/16073606.2018.1498407

Özarslan, H. S. (2021). Generalized almost increasing sequences. Lobachevskii J. Math., 42(1), 167-172. https://doi.org/10.1134/S1995080221010212

Özarslan, H. S. (2023). A new theorem on generalized absolute matrix summability. Azerb. J. Math., 13(1), 3-13.

Özarslan, H. S., & Kartal, B. (2017). A generalization of a theorem of Bor. J. Inequal. Appl., 179, 8pp. https://doi.org/10.1186/s13660-017-1455-3

Özarslan, H. S., & Kartal, B. (2020). Absolute matrix summability via almost increasing sequence. Quaest. Math., 43(10), 1477-1485. https://doi.org/10.2989/16073606.2019.1634651

Özarslan, H. S., Şakar, M. Ö., & Kartal, B. (2023). Applications of quasi power increasing sequences to infinite series. J. Appl. Math. & Informatics, 41(1), 1-9.

Published
2024-04-07
How to Cite
Özarslan, H. S., & Erdoğan, B. K. (2024). A Note on Summability of Infinite Series. Earthline Journal of Mathematical Sciences, 14(4), 589-594. https://doi.org/10.34198/ejms.14424.589594
Section
Articles