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Some new refinements of the arithmetic, geometric and harmonic mean inequalities are presented which improve on the inequalities of P. R. Mercer given in . In addition, we present a new method to obtain inequalities. We discuss a few applications to probability theory and obtain bounds for certain central moments of positive random variables in terms of these means.
Applied Mathematical Sciences
From, Steven G. and Suthakaran, R., "Some New Refinements of the Arithmetic, Geometric and Harmonic Mean Inequalities with Applications" (2016). Mathematics Faculty Publications. 65.
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