Exact(8)
Let ( X n ) be an almost increasing sequence and ( φ n p n P n ) be a non-increasing sequence.
"There are continually mixed messages, and there is almost increasing confusion in the mind of the average Joe," said Rob Stewart, a health researcher helping the Health Ministry monitor treatment programs.
Obviously, every increasing sequence is almost increasing.
Let be an almost increasing sequence and let and be sequences such that.
For this, we need the concept of an almost increasing sequence.
Let ((Y_{n})) be an almost increasing sequence and (lambda_{n}rightarrow0) as (nrightarrowinfty).
for all, and the sequences, are almost decreasing and almost increasing, respectively.
So, we are weakening the hypotheses of Theorem A replacing the increasing sequence by an almost increasing sequence.
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