On the acceleration of convergence by regular matrix methods

Proceedings of the Estonian Academy of Sciences

Ants Aasma¹ 

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关键词: convergence acceleration;    matrix methods;    Fourier expansions;    order of approximation;   

DOI  :  10.3176/proc.2008.1.01

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

Regular matrix methods that improve and accelerate the convergence of sequences and series are studied. Some problems related to the speed of convergence of sequences and series with respect to matrix methods are discussed. Several theorems on the improvement and acceleration of the convergence are proved. The results obtained are used to increase the order of approximation of Fourier expansions and Zygmund means of Fourier expansions in certain Banach spaces.

【 授权许可】

Unknown