On the uniform convergence of negative order Cesaro means of Fourier series

The paper investigates the uniform convergence of negative order Cesaro means of Fourier series of continuous functions after correction of these functions on a set of small measure. We also give an example of continuous function, the (C,α) means of Fourier series of which diverge over any subsequence on the set of positive measure for any α∈(−1,−12).