Research Article

A New Variation on Absolute Summability

Volume: 3 Number: 1 June 15, 2021
EN

A New Variation on Absolute Summability

Abstract

In [4], Bor has proved a main theorem dealing with absolute weighted arithmetic mean summability factors of infinite series by using a positive non-decreasing sequence. In this paper, we have extended this result to absolute matrix summability method by using an almost increasing sequence in place of a positive non-decreasing sequence. Also, some new and known results are also obtained.

Keywords

References

  1. [1] N. K. Bari, S. B. Steckin, Best approximation and differential of two conjugate functions, Trudy. Moskov. Mat. Obsc. 5 (1956) 483-522 (in Russian).
  2. [2] H. Bor, On two summability methods, Math. Proc. Camb. Philos. Soc. 97 (1985) 147-149.
  3. [3] H. Bor, A note on $\left|\bar{N},p_n\right| _k$ summability factors of in nite series, Indian J. Pure Appl. Math. 18 (1987) 330-336.
  4. [4] H. Bor, Factors for absolute weighted arithmetic mean summability of in nite series, Int. J. Anal. Appl. 14 (2017) 175-179.
  5. [5] H. Bor, An application of quasi-monotone sequences to in nite series and Fourier series, Anal. Math. Phys. 8 (2018) 7783.
  6. [6] H. Bor, On absolute summability of factored in nite series and trigonometric Fourier series, Results Math. 73 (2018) 116.
  7. [7] H. Bor, On absolute Riesz summability factors of in nite series and their application to Fourier series, Georgian Math. J. 26 (2019) 361366.
  8. [8] H. Bor, Certain new factor theorems for in nite series and trigonometric Fourier series, Quaest. Math. 43 (2020) 441448

Details

Primary Language

English

Subjects

Software Engineering (Other)

Journal Section

Research Article

Publication Date

June 15, 2021

Submission Date

May 18, 2021

Acceptance Date

June 2, 2021

Published in Issue

Year 2021 Volume: 3 Number: 1

APA
Yıldız, Ş. (2021). A New Variation on Absolute Summability. Proceedings of International Mathematical Sciences, 3(1), 1-9. https://doi.org/10.47086/pims.939184
AMA
1.Yıldız Ş. A New Variation on Absolute Summability. PIMS. 2021;3(1):1-9. doi:10.47086/pims.939184
Chicago
Yıldız, Şebnem. 2021. “A New Variation on Absolute Summability”. Proceedings of International Mathematical Sciences 3 (1): 1-9. https://doi.org/10.47086/pims.939184.
EndNote
Yıldız Ş (June 1, 2021) A New Variation on Absolute Summability. Proceedings of International Mathematical Sciences 3 1 1–9.
IEEE
[1]Ş. Yıldız, “A New Variation on Absolute Summability”, PIMS, vol. 3, no. 1, pp. 1–9, June 2021, doi: 10.47086/pims.939184.
ISNAD
Yıldız, Şebnem. “A New Variation on Absolute Summability”. Proceedings of International Mathematical Sciences 3/1 (June 1, 2021): 1-9. https://doi.org/10.47086/pims.939184.
JAMA
1.Yıldız Ş. A New Variation on Absolute Summability. PIMS. 2021;3:1–9.
MLA
Yıldız, Şebnem. “A New Variation on Absolute Summability”. Proceedings of International Mathematical Sciences, vol. 3, no. 1, June 2021, pp. 1-9, doi:10.47086/pims.939184.
Vancouver
1.Şebnem Yıldız. A New Variation on Absolute Summability. PIMS. 2021 Jun. 1;3(1):1-9. doi:10.47086/pims.939184
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