A Note on the Generalized Cesáro Means of Trigonometric Fourier Series

被引:0
作者
T. Akhobadze
Sh. Zviadadze
机构
[1] Javakhishvili Tbilisi State University,
来源
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) | 2019年 / 54卷
关键词
Trigonometric Fourier series; generalized Cesáro summability; modulus of continuity; 40G05; 42A10; 42A16; 42A24;
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学科分类号
摘要
Different generalized Cesáro summation methods are compared with each other. Analogous of Hardy’s theorem, concerning the order of the partial sums of trigonometric Fourier series, for generalized Cesáro means are obtained.
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页码:263 / 267
页数:4
相关论文
共 15 条
[1]  
Akhobadze T(2004)On generalized Cesáro summability of trigonometric Fourier series Bull. Georgian Acad. Sci. 170 23-24
[2]  
Akhobadze T(2007)On the convergence of generalized Cesáro means of trigonometric Fourier series. I Acta Math. Hungar. 115 59-78
[3]  
Akhobadze T(2007)On the convergence of generalized Cesáro means of trigonometric Fourier series. II Acta Math. Hungar. 115 79-100
[4]  
Akhobadze T(2011)On a theorem of M. Sato Acta Math. Hungar. 130 286-308
[5]  
Kaplan I(1960)Cesáro means of variable order Izv. Vyssh. Uchebn. Zaved. Mat. 18 62-73
[6]  
Kolmogorov A(1923)Une série de Fourier-Lebesgue divergente presque partout Fundamenta Mathematicae 4 324-328
[7]  
Lebesgue H(1905)Recherches sur la convergence des series de Fourier Math. Ann. 61 251-280
[8]  
Nikol’skii S M(1946)The Fourier series with the given modulus of continuity Dokladi Akad. Nauk SSSR 53 191-197
[9]  
Riesz M(1923)Sur la sommation des series de Fourier Acta Sci. Math. (Szeged) 1 104-113
[10]  
Tetunashvili S(2005)On iterated summability of trigonometric Fourier series Proc. A. Razmadze Math. Inst. 139 142-144