Some properties of log-convex function and applications for the exponential function

DOI10.1016/J.CAMWA.2011.12.019zbMath1247.26018OpenAlexW1997069243MaRDI QIDQ453837

Xiao-Ming Zhang, Wei-Dong Jiang

Publication date: 30 September 2012

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.12.019

zbMATH Keywords

integral inequalitylog-convex functionTaylor series expansionestimation of remainder terms

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Inequalities involving other types of functions (26D07)

Related Items (8)

The Choquet integral of log-convex functions ⋮ Some inequalities for multiplicative tempered fractional integrals involving the \(\lambda \)-incomplete gamma functions ⋮ Several inequalities for \(\log\)-convex functions ⋮ Revenue in first-price auctions with a buy-out price and risk-averse bidders ⋮ Petrović’s inequality on coordinates and related results ⋮ Hermite-Hadamard inequalities for co-ordinated log−h-convex functions ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• An inequality for the exponential function
• Hadamard's inequality for \(r\)-convex functions
• Convexity according to the geometric mean
• Analytic Inequalities
• Unnamed Item
• Unnamed Item

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