Abstract :
We adopt here an extended version of the absolute Nevanlinna summability and
apply it to study Fourier series of functions of bounded variations. The absolute
Riesz summability R, n, , 0, which is equivalent to the absolute Ces`aro
summability C, , is obtainable from the Nevanlinna summability. As such from
the theorems proved here we deduce some results on the absolute Ces`aro summability
of Fourier series. Some of these results are new while some others improve
upon known theorems
