On the convergence of Cesàro means of negative order of Vilenkin-Fourier series.

In 1971 Onnewer and Waterman establish a sufficient condition which guarantees uniform convergence of Vilenkin-Fourier series of continuous function. In this paper we consider different classes of functions of generalized bounded oscillation and in the terms of these classes there are established sufficient conditions for uniform convergence of Cesàro means of negative order. [ABSTRACT FROM AUTHOR]