A new note on factored infinite series and trigonometric Fourier series

Hüseyin Bor

doi:10.5802/crmath.179

Analyse harmonique

A new note on factored infinite series and trigonometric Fourier series

Hüseyin Bor ¹

¹ P. O. Box 121, TR-06502 Bahçelievler, Ankara, Turkey

Comptes Rendus. Mathématique, Volume 359 (2021) no. 3, pp. 323-328.

Résumé

In this paper, we have proved two main theorems under more weaker conditions dealing with absolute weighted arithmetic mean summability factors of infinite series and trigonometric Fourier series. We have also obtained certain new results on the different absolute summability methods.

Reçu le : 2020-11-14
Accepté le : 2021-01-13
Publié le : 2021-04-20

DOI : 10.5802/crmath.179

Classification : 26D15, 40D15, 42A24, 46A45

Affiliations des auteurs :

Hüseyin Bor ¹

¹ P. O. Box 121, TR-06502 Bahçelievler, Ankara, Turkey

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {H\"useyin Bor},
     title = {A new note on factored infinite series and trigonometric {Fourier} series},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {323--328},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {359},
     number = {3},
     year = {2021},
     doi = {10.5802/crmath.179},
     language = {en},
}

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Hüseyin Bor. A new note on factored infinite series and trigonometric Fourier series. Comptes Rendus. Mathématique, Volume 359 (2021) no. 3, pp. 323-328. doi : 10.5802/crmath.179. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.179/

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