Approximation of integrable functions by general linear operators of their fourier series |
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| Authors: | Wiodzimierz LENSKI Bogdan SZAL |
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| Institution: | 1. Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, 65-516, Zielona Góra, ul. Szafrana 4a, Poland
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| Abstract: | The pointwise estimates of the deviation T n,A,B f(·)?f(·) in terms of moduli of continuity ?w·f and w·f there are proved. Analogical results on norm approximation with remarks and corollaries are also given. In the results there are used the essentially weaker conditions than these in Mittal, M. L.: J. Math. Anal. Appl., 220, 434–450 (1998) Theorem 1, p. 437]. |
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| Keywords: | Rate of approximation summability of Fourier series |
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