Pointwise approximation of 2 π/r-periodic functions by matrix operators of their Fourier series with r-differences of the entries

Demonstratio Mathematica

卷:51

Szal Bogdan¹  Łenski Włodzimierz¹ 

[1] University of Zielona Góra, Faculty of Mathematics, Computer Science and Econometrics,Zielona Góra, ul. Szafrana, Poland;

关键词: rate of approximation;    summability of Fourier series;    42A24;   

DOI  :  10.1515/dema-2018-0024

来源: DOAJ

【 摘 要 】

We extend the results of Xh. Z. Krasniqi [Acta Comment. Univ. Tartu. Math., 2013, 17, 89-101] and the authors [Acta Comment. Univ. Tartu. Math., 2009, 13, 11-24] to the case of 2 π/r-periodic functions. Moreover, as a measure of approximation r-differences of the entries are used.

【 授权许可】

Unknown