Estimates of best approximations in integral metrics and Fourier coefficients with respect to multiplicative systems

Author:

Volosivets S. S.,Fadeev R. N.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference18 articles.

1. Г. Н. Агаев, Н. Я. Виленкин, Г. М. Дзафарли и А. И. Рубинщтейн, Мульmunлuкamuвные сuсmемы функmuŭ u гaрмонuческuŭ aнaлuэ нa нулямерных груnnaх, ЭЛМ (Баку, 1981).

2. Н. Ю. Агафонова, О наилучщих приблизениях функций по мулятипликативным системам и свойствах иэ коЭффициентов Фуряе, Analysis Math., 33(2007), 247–262.

3. R. Askey and S. Wainger, Integrability theorems for Fourier series, Duke Math. J. 33(1966), 223–228.

4. Н. К. Бари, Тригономеmрuческuе ря∂ы, Фиэматгиэ (Москва, 1961)

5. Lecture Notes in Math.;J. A. Chao,1982

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the L 1 -convergence of Series in Multiplicative Systems;Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics;2016

2. Weighted Integrability of Double Series with Respect to Multiplicative Systems;Journal of Mathematical Sciences;2015-07-19

3. Weighted Integrability of Sums of Series with Respect to Multiplicative Systems;Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics;2014

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