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] 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
Authors
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