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We extend the results of Xh. Z. Krasniqi (Acta Comment. Univ. Tartu Math. 17:89–101,  2013 ) and the authors (Acta Comment. Univ. Tartu Math. 13:11–24,  2009 ; Proc. Est. Acad. Sci. 67:50–60,  2018 ) to the case when considered function is    \documentclass[12pt]{minimal} 				\usepackage{amsmath} 				\usepackage{wasysym}  				\usepackage{amsfonts}  				\usepackage{amssymb}  				\usepackage{amsbsy} 				\usepackage{mathrsfs} 				\usepackage{upgreek} 				\setlength{\oddsidemargin}{-69pt} 				\begin{document}$2\pi/r$\end{document}   2  π  /  r-periodic and the measure of approximation depends on  r -differences of the entries of the considered matrices.

Pointwise approximation of modified conjugate functions by matrix operators of conjugate Fourier series of 2 π / r $2\pi /r$ -periodic functions