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The results corresponding to some theorems of S. Lal [Tamkang J. Math., 31 (4) (2000), 279-288] and the results of the second and third authors [Banach Center Publ., in press] are shown. The same degrees of pointwise approximation as in mentioned papers by significantly weaker assumptions on considered functions are obtained. From presented pointwise results the estimation on norm approximation with significantly better degrees are derived. Mathematics subject classification (2010): 42A24.

On the degrees of approximation of functions belonging to L^p (ω̃)_β class by matrix means of conjugate Fourier series