Research Article

Cesàro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences

Number: 41 December 31, 2022
EN

Cesàro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences

Abstract

This paper generalises a well-known theorem on ${\mid{C},\rho\mid}_\kappa$ summability to the $\varphi-{\mid{C},\rho;\beta\mid}_\kappa$ summability of an infinite series using an almost increasing and a $\delta$-quasi monotone sequence.

Keywords

Cesàro summability, $\delta$-quasi-monotone sequence, summability factors, almost increasing sequence, infinite series

References

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  3. H. Bor, H. S. Özarslan, On the Quasi-Monotone and Almost Increasing Sequences, Journal of Mathematical Inequalities 1(4) (2007) 529{--}534.
  4. H. Bor, H. S. Özarslan, A New Application of Quasi-Monotone and Almost Increasing Sequences, Journal of Computational Analysis and Applications 13(5) (2011) 886{--}891.
  5. H. S. Özarslan, Absolute Cesàro Summability Factors, Journal of Concrete and Applicable Mathematics 5(3) (2007) 231{--}236.
  6. H. S. Özarslan, On Absolute Cesàro Summability Factors of Infinite Series, Communications in Mathematical Analysis 3(1) (2007) 53{--}56.
  7. H. S. Özarslan, A Note on Generalized Absolute Cesàro Summability, Journal of Computational Analysis and Applications 12(3) (2010) 581{--}585.
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APA
Kartal, B. (2022). Cesàro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences. Journal of New Theory, 41, 94-99. https://doi.org/10.53570/jnt.1185603
AMA
1.Kartal B. Cesàro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences. JNT. 2022;(41):94-99. doi:10.53570/jnt.1185603
Chicago
Kartal, Bağdagül. 2022. “Cesàro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences”. Journal of New Theory, nos. 41: 94-99. https://doi.org/10.53570/jnt.1185603.
EndNote
Kartal B (December 31, 2022) Cesàro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences. Journal of New Theory 41 94–99.
IEEE
[1]B. Kartal, “Cesàro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences”, JNT, no. 41, pp. 94–99, Dec. 2022, doi: 10.53570/jnt.1185603.
ISNAD
Kartal, Bağdagül. “Cesàro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences”. Journal of New Theory. 41 (December 31, 2022): 94-99. https://doi.org/10.53570/jnt.1185603.
JAMA
1.Kartal B. Cesàro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences. JNT. 2022;:94–99.
MLA
Kartal, Bağdagül. “Cesàro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences”. Journal of New Theory, no. 41, Dec. 2022, pp. 94-99, doi:10.53570/jnt.1185603.
Vancouver
1.Bağdagül Kartal. Cesàro Summability Involving $\delta$-Quasi-Monotone and Almost Increasing Sequences. JNT. 2022 Dec. 31;(41):94-9. doi:10.53570/jnt.1185603