A Note on \(L^1\)-Convergence of Fourier Series with Riesz Mean

In this paper, the problem of \(L^1\) -convergence of Fourier series with quasi-monotone coefficients is handled by using the \((\bar{N},p_n)\) -mean. Also, an example is given about the Fourier series of a signal (function) \(f\) and its \((\bar{N},p_n)\) mean.