Some new inequalities involving elementary mean values

DOI10.1006/jmaa.1998.6166zbMath0918.26014OpenAlexW1999286695MaRDI QIDQ1279958

A. McD. Mercer

Publication date: 3 August 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/67afccc3f1d8f792188acf7fda5175475fe5f84a

zbMATH Keywords

inequalitiesmean value theoremweighted power means

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Inequalities for sums, series and integrals (26D15)

Related Items (5)

A family of the Cauchy type mean-value theorems ⋮ How sharp is the Jensen inequality? ⋮ Exponential convexity for Jensen's inequality for norms ⋮ Jessen type functionals and exponential convexity ⋮ Cauchy type means for some generalized convex functions

Cites Work

• An ``error term for the Ky Fan inequality
• A new refinement of the arithmetic mean -- geometric mean inequality
• A Refinement of the Arithmetic Mean-Geometric Mean Inequality

This page was built for publication: Some new inequalities involving elementary mean values