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Guesstimation: A new justification of the geometric mean heuristic
heuristic estimates scale-invariance
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
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
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.
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
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
2008/6/26
Weighted Geometric Mean Inequalities Over Cones in $R^N$ 。