Handbook of Means and Their Inequalities

Peter S. Bullen, H. o. M., & Their Inequalities, K. (2003). Handbook of Means and Their Inequalities. Kluwer.

Type

Book

Intellectual base

Review or monograph

Year

2003

DOI

10.1007/978-94-017-0399-4

ISBN

9789048163830

Link

https://doi.org/10.1007/978-94-017-0399-4

Cited by

4 citations across 4 artifacts.

Domain-specific

• Heronian mean
  • For A,B≥0 the Heronian mean is (A+sqrt(AB)+B)/3, lying between the geometric and arithmetic means and arising in frustum-volume formulas.
• Logarithmic mean
  • The logarithmic mean is L(x,y)=(x−y)/(ln x−ln y) for x≠y and L(x,x)=x.
• Quasi-arithmetic mean
  • A formula that uses a noninjective generator or averages outside its inverse's range does not define this abstraction as stated.
• Summary statistics
  • Summary statistics compress selected features of data into values such as counts, means, quantiles, ranges, variances, and correlations.

Verification

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