Application of Almost Increasing Sequence for Absolute Riesz |Ñ, Pα,βN;δ ; Γ|K Summable Factor

Jump To References Section

Authors

  • Smita Sonker
     Department of Mathematics, NIT Kurukshetra, Kurukshetra ,IN
  • Rozy Jindal
     Department of Mathematics, NIT Kurukshetra, Kurukshetra ,IN

DOI:

https://doi.org/10.18311/jims/2022/29313

Keywords:

Absolute summability, infinite series, quasi-f-power increasing sequence, generalized Cesaro summability

Abstract

In this paper, we have proved a general theorem dealing with absolute Riesz |Ñ, P?,?N;? ; ?|K summablility by applying an almost increasing sequence. Also, some known results are also deduced.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Downloads

Published

2022-01-27

How to Cite

Sonker, S., & Jindal, R. (2022). Application of Almost Increasing Sequence for Absolute Riesz |Ñ, P<SUP>α,β</SUP><SUB>N</SUB>;&#948; ; &#915;|<SUB>K</SUB> Summable Factor. The Journal of the Indian Mathematical Society, 89(1-2), 172–181. https://doi.org/10.18311/jims/2022/29313

Issue

Volume 89, Issue 1-2, January-June 2022

Section

Articles

License

Copyright (c) 2022 Smita Sonker, Rozy Jindal

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Crossref
Scopus
Google Scholar
Europe PMC
Received 2022-01-11
Accepted 2023-01-30
Published 2022-01-27

 

References

H. Bor, A new theorem on the absolute Riesz summability factors, Filomat, 28(8) (2014), 1537–1541. DOI: https://doi.org/10.2298/FIL1408537B

H. Bor, Some new results on infinite series and Fourier series, Positivity, 19(3) (2015), 467–473. DOI: https://doi.org/10.1007/s11117-014-0309-1

H. Bor and H. Seyhan, On almost increasing sequences and its applications, Indian J. Pure Appl. Math., 30 (1999), 1041–1046.

T. M. Flett, On an extension of absolute summability and some theorems of Littlewood and Paley, Proc. London Math. Sci., 3(1) (1957), 113–141. DOI: https://doi.org/10.1112/plms/s3-7.1.113

S. Sonker and A. Munjal, Absolute summability factor ? |C, 1; |k of Infinite series, Inter. J. Analysis Appl., 10(23), (2016), 1129–1136. DOI: https://doi.org/10.12988/ijma.2016.6690

S. Sonker and A. Munjal, Absolute ? |C, , ; |k summability of infinite series, J. Inequalities Appl., 168 (2017), 1–7. DOI: https://doi.org/10.1186/s13660-017-1445-5

S. Sonker and A. Munjal, Application of quasi-f-power increasing sequences in Absolute ? |C, ; ; l|k summability, in Proc. International Conference for Computational Physics, Mathematics and Applications 2017. DOI: https://doi.org/10.1016/j.procs.2017.12.076

S. Sonker and A. Munjal, Absolute summability factor |N, pn|k of improper integral, Inter. J. Engg. and Tech., 9(3S) (2017), 457–462. DOI: https://doi.org/10.21817/ijet/2017/v9i3/170903S071

S. Sonker and A. Munjal, Application of almost increasing sequence for absolute Riesz |Ñ, Pα,βN;δ ; Γ|K summable factor, Pertanika J. Sci. Tech., 262(2) (2018), 841–852.