Sharps Bounds for Power Mean in Terms of Contraharmonic Mean ()
ABSTRACT
In this research work, we consider the below inequalities: (1.1). The researchers attempt to find an answer as to what are the best possible parameters
α,
β that (1.1) can be held? The main tool is the optimization of some suitable functions that we seek to find out. Without loss of generality, we have assumed that
a >
b and let
for 1) and
a <
b,
(
t small) for 2) to determine the condition for
α and
β to become
f(
t) ≤ 0 and
g(
t) ≥ 0.
Share and Cite:
Almuhiameed, Z. (2020) Sharps Bounds for Power Mean in Terms of Contraharmonic Mean.
Journal of Applied Mathematics and Physics,
8, 1229-1235. doi:
10.4236/jamp.2020.87093.
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