Approximation of functions from $L^{p}(ω)_{β}$ by general linear operators of their Fourier series

• Autorzy: Włodzimierz Łenski , Bogdan Szal
• Języki publikacji: EN

Abstrakty

EN

We show the general and precise conditions on the functions and modulus of continuity as well as on the entries of matrices generating the summability means and give the rates of approximation of functions from the generalized integral Lipschitz classes by double matrix means of their Fourier series. Consequently, we give some results on norm approximation. Thus we essentially extend and improve our earlier results [Acta Comment. Univ. Tartu. Math. 13 (2009), 11-24] and the result of S. Lal [Appl. Math. Comput. 209 (2009), 346-350].

Kategorie tematyczne

• 42A24: Summability and absolute summability of Fourier and trigonometric series

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 95
• Numer: 1
• Strony: 339-351

Daty

wydano

2011

Twórcy

autor

Włodzimierz Łenski

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

autor

Bogdan Szal

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

Identyfikatory

DOI

10.4064/bc95-0-20