Approximation of integrable functions by general linear operators of their fourier series

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].