On $\Lambda^{r}$-strong convergence of numerical sequences and Fourier series

Abstract

We prove theorems of interest about the recently given $\Lambda^{r}$-strong convergence. We extend the results of F. M\'oricz [On $\Lambda$-strong convergence of numerical sequences and Fourier series, Acta Math.~Hungar., 54 (1989), 319--327].