Published online by Cambridge University Press: 09 April 2009
Let and
.
In 1951 Mohanty proved the following theorem: .
In this paper a general theorem on summability |R,l (w), 1 | of Σ An(x) has been given which improves upon Mohanty's result in different ways (see Corollaries 1, 2 and 3) and it is also shown that some of the results of this note are the best possible.