Degrees of the approximations by some special matrix means of conjugate Fourier series

Demonstratio mathematica

article

Radosława Kranz¹  Aleksandra Rzepka²  Ewa Sylwestrzak-Maślanka¹ 

[1] University of Zielona Góra, Faculty of Mathematics, Computer Science and Econometrics;University of Zielona Góra, Faculty of Mathematics, Computr Science and Econometrics

关键词: degree of approximation;    Fourier series;    matrix means;   

DOI  :  10.1515/dema-2019-0014

学科分类：外科医学

来源: De Gruyter

【 摘 要 】

In this paper we will present the pointwise and normwise estimations of the deviations considered by W. Łenski, B. Szal, [Acta Comment. Univ. Tartu. Math., 2009, 13, 11-24] and S. Saini, U. Singh, [Boll. Unione Mat. Ital., 2016, 9, 495-504] under general assumptions on the class considered sequences defining the method of the summability. We show that the obtained estimations are the best possible for some subclasses of L p by constructing the suitable type of functions.

【 授权许可】

CC BY