Research Article

A study on absolute summability factors

Volume: 24 Number: 1 February 1, 2020
EN

A study on absolute summability factors

Abstract

In this study we proved theorems dealing with summability factors giving relations between absolute Cesàro and absolute weighted summability methods. So we deduced some results in the special cases.

Keywords

References

  1. [1] H. Bor, “Some equivalence theorems on absolute summability methods,” Acta Math. Hung., vol. 149, pp.208-214, 2016.[2] H. Bor, “On two summability methods,” Math. Proc. Cambridge Philos Soc., vol. 98, 147-149, 1985. [3] T.M. Flett, “On an extension of absolute summability and some theorems of Littlewood and Paley,” Proc. London Math. Soc., vol. 7, pp. 113-141, 1957.[4] Hazar Güleç, G.C. (in press).Summability factor relations between absolute weighted and Cesàro means, Mathematical Methods in the Applied Sciences. (DOI: 10.1002/mma.5399).[5] G.C. Hazar and M.A. Sarıgöl, “Compact and Matrix Operators on the Space |C,-1|_k,” J. Comput. Anal. Appl., vol.25, no.6, pp. 1014-1024, 2018.[6] G.C. Hazar, and M.A. Sarıgöl, “On factor relations between weighted and Nörlund means,” Tamkang J. Math. (in press).[7] I.J. Maddox, “Elements of functinal analysis, Cambridge University Press,” London, New York, 1970.[8] S.M. Mazhar, “On the absolute summability factors of infinite series,” Tohoku Math. J., vol.23, pp.433-451, 1971.[9] M.R. Mehdi, “Summability factors for generalized absolute summability I,” Proc. London Math. Soc., vol.3., no.10, pp.180-199, 1960.[10] R.N. Mohapatra, “On absolute Riesz summability factors,” J. Indian Math. Soc., vol.32, pp.113-129, 1968.[11] M. A. Sarıgöl, “Spaces of series Summable by absolute Cesàro and Matrix Operators ,” Comm. Math. Appl. , vol.7, no.1, pp.11-22, 2016.[12] M.A. Sarıgöl, “Extension of Mazhar's theorem on summability factors,” Kuwait J. Sci., vol.42, no.3, pp.28-35, 2015.[13] M.A. Sarıgöl, “On the local properties of factored Fourier series,” Appl. Math. Comp., vol.216, pp.3386-3390, 2010. [14] W.T. Sulaiman, “On summability factors of infinite series,” Proc. Amer. Math. Soc., vol.115, pp.313-317, 1992.[15] W.T. Sulaiman, “On some absolute summability factors of Infinite Series,” Gen. Math. Notes, vol.2, no.2, pp.7-13, 2011.[16] B. Thorpe, “Matrix transformations of Cesàro summable Series,” Acta Math. Hung., vol. 48(3-4), pp.255-265, 1986.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

February 1, 2020

Submission Date

November 4, 2019

Acceptance Date

December 12, 2019

Published in Issue

Year 2020 Volume: 24 Number: 1

APA
Hazar Güleç, G. C. (2020). A study on absolute summability factors. Sakarya University Journal of Science, 24(1), 220-223. https://doi.org/10.16984/saufenbilder.642406
AMA
1.Hazar Güleç GC. A study on absolute summability factors. SAUJS. 2020;24(1):220-223. doi:10.16984/saufenbilder.642406
Chicago
Hazar Güleç, G. Canan. 2020. “A Study on Absolute Summability Factors”. Sakarya University Journal of Science 24 (1): 220-23. https://doi.org/10.16984/saufenbilder.642406.
EndNote
Hazar Güleç GC (February 1, 2020) A study on absolute summability factors. Sakarya University Journal of Science 24 1 220–223.
IEEE
[1]G. C. Hazar Güleç, “A study on absolute summability factors”, SAUJS, vol. 24, no. 1, pp. 220–223, Feb. 2020, doi: 10.16984/saufenbilder.642406.
ISNAD
Hazar Güleç, G. Canan. “A Study on Absolute Summability Factors”. Sakarya University Journal of Science 24/1 (February 1, 2020): 220-223. https://doi.org/10.16984/saufenbilder.642406.
JAMA
1.Hazar Güleç GC. A study on absolute summability factors. SAUJS. 2020;24:220–223.
MLA
Hazar Güleç, G. Canan. “A Study on Absolute Summability Factors”. Sakarya University Journal of Science, vol. 24, no. 1, Feb. 2020, pp. 220-3, doi:10.16984/saufenbilder.642406.
Vancouver
1.G. Canan Hazar Güleç. A study on absolute summability factors. SAUJS. 2020 Feb. 1;24(1):220-3. doi:10.16984/saufenbilder.642406


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