On the Summability of Fourier Series by the Generalized Cesáro Method

被引：0

作者：

T. Akhobadze

G. Gognadze

机构：

[1] Javakhishvili Tbilisi State University,

来源：

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) | 2022年 / 57卷

关键词：

trigonometric system; Fourier series; Cesáro summability;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

引用

页码：67 / 76

页数：9

共 13 条

[1]

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[2]

Akhobadze T.(2007)On the convergence of generalized Cesáro means of trigonometric Fourier series. I Acta Math. Hung. 115 59-78

[3]

Akhobadze T.(2007)On the convergence of generalized Cesáro means of trigonometric Fourier series. II Acta Math. Hung. 115 59-78

[4]

Akhobadze T.(2011)On a theorem of M. Satô Acta Math. Hung. 130 286-308

[5]

Akhobadze T.(2019)A note on the generalized Cesáro means of trigonometric Fourier series J. Contemp. Math. Anal. 54 263-267

[6]

Zviadadze Sh.(1930)Convergence and summability criteria for Fourier series Q. Jour. Math. 1 252-275

[7]

Gergen J. J.(1960)Cesáro means of variable order Izv. Vyssh. Uchebn. Zaved. Mat. 18 62-73

[8]

Kaplan I.(1905)Recherches sur la convergence des séries de Fourier Math. Ann. 61 251-280

[9]

Lebesgue H.(1981)On the summability of Fourier series Rev. Roum. Math. Pures Appl. 26 327-330

[10]

Sahney B.(2010)On divergence of Fourier series by some methods of summability J. Funct. Spaces Appl. 2012 542607-504