Abstract
Abstract In this paper, we discuss the rate of the approximation by matrix transform means of Fourier series with respect to the character system of the group of 2-adic integers in L p ( I ) {L^{p}(I)} spaces ( 1 ≤ p < ∞ {1\leq p<\infty} ) and in C ( I ) {C(I)} . Moreover, we give an application for functions in Lipschitz classes Lip ( α , p , I ) {\mathrm{Lip}(\alpha,p,I)} ( α > 0 {\alpha>0} , 1 ≤ p < ∞ {1\leq p<\infty} ) and Lip ( α , C ( I ) ) {\mathrm{Lip}(\alpha,C(I))} ( α > 0 {\alpha>0} ).
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