On the approximation of integrable functions by some special matrix means of Fourier series

• Autorzy: Kranz R. , Rzepka A.

Identyfikatory

DOI

10.1515/dema-2017-0034

• Języki publikacji: EN

Abstrakty

EN

The results concerninig pointwise approximation and product of summability methods corresponding to the theorems of Xh. Z. Krasniqi [Poincare J. Anal. Appl., 2014, 1, 1-8] and W. Łenski and B. Szal [Math. Slovaca, 2016, 66(6), 1-12] are generalized. Some special cases are also formulated as corollaries.

Słowa kluczowe

EN

degree of approximation; Fourier series; matrix means

PL

aproksymacja; szereg Fouriera; macierz

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2017
• Tom: Vol. 50, nr 1
• Strony: 351--359
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Kranz 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] Leindler L., Integrability conditions pertaining to Orlicz space, J. Inequal. Pure and Appl. Math., 2007, 8(2), art. 38
• [2] Łenski W., Szal B., On approximation of functions by some hump matrix means of Fourier series, Math. Slovaca, 2016, 66(6), 1-12
• [3] Łenski W., Szal B., Approximation of functions from Lp(ω)β by general linear operators of their Fourier series, Marcinkiewicz Centenary Volume, Banach Center Publications, 2011, 95, 339-351
• [4] Krasniqi Xh. Z., On a generalized product summability of Fourier series, Poincare J. Anal. Appl., 2014, 1, 1-8
• [5] Kranz R., Rzepka A., On the approximation of functions from Lp by some special matrix means of Fourier series, Fasciculi Mathematici, 2015, 55, 81-90
• [6] Zygmund A., Trigonometric series, Cambridge, 2002

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).