Convergence of matrix transform means with respect to the Walsh–Kaczmarz system.

In this paper the Walsh system will be considered in the Kaczmarz rearrangement. We estimate the difference between matrix transform means of Walsh–Kaczmarz–Fourier series and the corresponding function in norm, and the upper estimation is given by the modulus of continuity of the function. We also prove norm convergence with similar conditions. [ABSTRACT FROM AUTHOR]