Y by superagh
Given a positive integer
, let
be the collection of all
-tuples
of nonnegative reals
,
, such that
. For
and
, consider the sum set
.
Show the following.
(a) There exist
and
.
(b) It holds that
. Moreover, on the left side, equality is attained only for finitely many values of
, whereas on the right side, equality holds for infinitely values of
.










Show the following.
(a) There exist


(b) It holds that


