Abstract
In this study, using the notion of
(
V
,
λ
)
-summability and
λ
-statistical convergence, we introduce the concepts of strong
(
V
,
λ
,
p
)
-summability and
λ
-statistical convergence of order
α
of real-valued functions which are measurable (in the Lebesgue sense) in the interval
(
1
,
∞
)
. Also some relations between
λ
-statistical convergence of order
α
and strong
(
V
,
λ
,
p
)
-summability of order
β
are given.
MSC:
40A05, 40C05, 46A45.