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Slight extensions of some theorems on the rate of pointwise approximation of functions from some subclasses of <i>L<sup>p</sup></i>

Slight extensions of some theorems on the rate of pointwise approximation of functions from some subclasses of <i>L<sup>p</sup></i>

In this paper we prove some results on the rate of pointwise approximation of functions by means of some matrix transformations related to the partial sums of a Fourier series, removing the assumptions that entries of the considered matrix belong to the classes RBV S or HBV S. In fact, …