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• # Artykuł - szczegóły

## Banach Center Publications

2011 | 95 | 1 | 339-351

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

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].

339-351

wydano
2011

### Twórcy

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