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Guesstimation: A new justification of the geometric mean heuristic
heuristic estimates scale-invariance
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2010/9/15
In many practical situations in which the only information we have about the quantity x is that its value is within an interval [x, x], a reas√ onable estimate for this quantity is the geometric mean ...
Operational equations for the five-point rectangle, the geometric mean, and data in prismatic array
Interpolation Experimental design Shifting operator
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2010/9/14
This paper describes the results of three applications of operational calculus: new representations of five data in a rectangular array, new relationships among data in a prismatic array, and the oper...
On Weighted Inequalities with Geometric Mean Operator Generated by the Hardy-type Integral Transform
Integral inequalities Weights Geometric mean operator Kernels Riemann-Liouville operators
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2008/6/27
On Weighted Inequalities with Geometric Mean Operator Generated by the Hardy-type Integral Transform.
On Inequalities for Hypergeometric Analogues of the Arithmetic-Geometric Mean
Arithmetic-geometric mean Hypergeometric function Power mean.
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2008/6/27
In this note, we present sharp inequalities relating hypergeometric analogues of the arithmetic-geometric mean discussed in [5] and the power mean. The main result generalizes the corresponding sharp ...
Reverse Inequalities on Chaotically Geometric Mean via Specht Ratio, II
Operator concavity Power mean Arithmetic mean Geometric mean
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2008/6/27
In 1967, as a converse of the arithmetic-geometric mean inequality, Mond and Shisha gave an estimate of the difference between the arithmtic mean and the geometric one, which we call it the Mond-Shish...
Weighted Geometric Mean Inequalities Over Cones in $R^N$
Inequalities Multidimensional inequalities Geometric mean inequalities Hardy type inequalities Cones in $R^{N}$ Sharp constant
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2008/6/26
Weighted Geometric Mean Inequalities Over Cones in $R^N$ 。