On absolute summability of infinite series and Fourier series
Keywords:
absolute matrix summability, Fourier series, summability factors, infinite seriesAbstract
In the present paper, a theorem on θ-| T;δ|k summability method of an infinite series is proved, and also by using this method, a result on summability of a trigonometric Fourier series is obtained.
References
Bor, Hüseyin. "On two summability methods." Math. Proc. Cambridge Philos. Soc. 97, no. 1 (1985): 147-149.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Bor, Hüseyin. "On the absolute Riesz summability factors." Rocky Mountain J. Math. 24, no. 4 (1994): 1263-1271.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Bor, Hüseyin. "Some new results on absolute Riesz summability of infinite series and Fourier series." Positivity 20, no. 3 (2016): 599-605.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Bor, Hüseyin. "A new note on factored infinite series and trigonometric Fourier series." C. R. Math. Acad. Sci. Paris 359 (2021): 323-328.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Bor, Hüseyin. "Factored infinite series and Fourier series involving almost increasing sequences." Bull. Sci. Math. 169 (2021): Paper No. 102990, 8 pp.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Chen, Kien-Kwong. "Functions of bounded variation and the Cesàro means of a Fourier series." Acad. Sinica Science Record 1 (1945): 283-289.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Hardy, Godfrey Harold. Divergent Series. Oxford: Oxford University Press, 1949.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Kartal, Bagdagül. "Generalized absolute Riesz summability of infinite series and Fourier series." Inter. J. Anal. Appl. 18, no. 6 (2020): 957-964.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Özarslan, Hikmet Seyhan. "Local properties of factored Fourier series." Int. J. Comp. Appl. Math. 1, no. 1 (2006): 93-96.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Özarslan, Hikmet Seyhan, and Bagdagül Kartal. "A generalization of a theorem of Bor." J. Inequal. Appl. 179 (2017): 8pp.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Özarslan, Hikmet Seyhan. "A new study on generalised absolute matrix summability methods." Maejo Int. J. Sci. Technol. 12, no. 3 (2018): 199-205.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Özarslan, Hikmet Seyhan. "A new factor theorem for absolute matrix summability." Quaest. Math. 42, no. 6 (2019): 803-809.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Özarslan, Hikmet Seyhan. "Local properties of generalized absolute matrix summability of factored Fourier series." Southeast Asian Bull. Math. 43, no. 2
##plugins.generic.googleScholarLinks.settings.viewInGS##
(2019): 263-272.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Özarslan, Hikmet Seyhan. "On the localization of factored Fourier series." J. Comput. Anal. Appl. 29, no. 2 (2021): 344-354.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Özarslan, Hikmet Seyhan. "A study on local properties of Fourier series." Bol. Soc. Parana. Mat. (3) 39, no. 1 (2021): 201-211.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Özarslan, Hikmet Seyhan. "Generalized absolute matrix summability of infinite series and Fourier series." Indian J. Pure Appl. Math. 53, no. 4 (2022): 1083-1089.
##plugins.generic.googleScholarLinks.settings.viewInGS##
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.
