On the approximation of conjugate functions from L^p by some special matrix means of conjugate Fourier series

• Autorzy: Krantz R. , Rzepka A.

Identyfikatory

DOI

10.14708/cm.v54i2.702

• Języki publikacji: EN

Abstrakty

EN

The results corresponding to some theorems of W. Łenski and B. Szal are shown. From the presented pointwise results the estimates on norm approximation are derived. Some special cases as corollaries are also formulated.

Słowa kluczowe

EN

degree of approximation; Fourier series; matrix means; conjugate function

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2014
• Tom: Vol 54, No. 2
• Strony: 191--202
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Krantz R.

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

autor

Rzepka A.

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

Bibliografia

• [1] W. Łenski, B. Szal, Approximation of conjugate functions by general linear operators of their Fourier series at the Lebesgue points, Demonstratio Math. 14 (2015), in press.
• [2] M. L. Mittal, A sufficient condition for (F1) -effectiveness of the C1T - method, J. of Math. Anal. Appl. 220 (1998), 434-450.Article no AY975781.
• [3] A. Zygmund, Trigonometric series, Cambridge, 2002.