Mathematics
8 years ago

New operator inequalities redefine mathematical relationships between means.

Journal of Mathematical Inequalities
Operator inequalities among arithmetic mean, geometric mean and harmonic mean
Shigeru Furuichi

Paper Summary

Related papers

Theme background image
Mathematics
a year ago

New inequality formula revolutionizes mathematical calculations and problem-solving strategies.

Matrix Inequalities
Decision Sciences
8 years ago

New study reveals arithmetic average always greater than geometric mean!

Multi-Criteria Decision
1 view
Theme background image
Mathematics
8 years ago

New matrix inequality breakthrough promises improved mathematical modeling and analysis.

Matrix Inequalities
Matrix Algorithms
Orthogonal Polynomials

The article shows that the weighted geometric mean can be bounded by the weighted arithmetic mean and the weighted harmonic mean. This is proven for two invertible positive operators.