Degrees of the approximations by some special matrix means of conjugate Fourier series-Reference-Cited by-同舟云学术

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

Published:2019-03-01 Issue:1 Volume:52 Page:116-129
ISSN:2391-4661
Container-title:Demonstratio Mathematica
language:en
Short-container-title:

Author:

Kranz Radosława¹,Rzepka Aleksandra²,Sylwestrzak-Maślanka Ewa¹

Affiliation:

1. University of Zielona Góra, Faculty of Mathematics, Computer Science and Econometrics, 65-516 Zielona Góra , ul. Szafrana 4a, Poland

2. University of Zielona Góra, Faculty of Mathematics, Computr Science and Econometrics, 65-516 Zielona Góra , ul. Szafrana 4a, Poland

Abstract

Abstract 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 Lp by constructing the suitable type of functions.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/dema-2019-0014/pdf

Reference17 articles.

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5. [5] Lal S., Nigam H. K., Degree of approximation of conjugate of a function belonging to Lip(ξ(t) , p) class by matrix summability means of conjugate Fourier series, Int. J. Math. Math. Sci., 2001, 27(9), 555-563

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