In this paper we prove some theorems on the absolute summability of Fourier series which connect diverse
|
C
,
γ
|
\left | {C,\gamma } \right |
results such as Bosanquet’s classical theorem (1936), Mohanty (1952), and Ray (1970) and the recent
|
R
,
exp
(
(
log
ω
)
β
+
1
)
,
γ
|
\left | {R,\;\exp ({{(\log \omega )}^{\beta + 1}}),\gamma } \right |
result of Nayak (1971). It is also shown that in some sense some of the conclusions of the paper are the best possible.