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.