Multiplicative convexity and its applications

DOI10.1016/j.jmaa.2009.08.008zbMath1183.26009OpenAlexW2019721941MaRDI QIDQ1039460

Kaizhong Guan

Publication date: 30 November 2009

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.08.008

zbMATH Keywords

monotonicityAlzer's inequalityMinc-Sathre's inequalitymultiplicative convexity

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Means (26E60)

Related Items (6)

Asymptotic expansions and inequalities relating to the gamma function ⋮ GA-convexity and its applications ⋮ Some properties of a generalized Hamy symmetric function and its applications ⋮ Resolution of a conjecture on the convexity of zeta functions ⋮ Three kinds of convexity and concavity properties of optimal value function in parametric nonlinear programming ⋮ Sharp inequalities involving \((n!)^{1/n}\)

Cites Work

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• On Alzer's inequality
• On an inequality of H. Minc and L. Sathre
• On some inequalities involving \((n!)^{1/n}\)
• Monotonic averages of convex functions
• On an inequality of Alzer
• Generalization of H. Alzer's inequality
• Meaningful Inequalities
• Arithmetic and Geometric Means, an Application to Lorentz Sequence Spaces
• Convexity according to the geometric mean
• Monotonicity of sequences involving convex and concave functions
• An Inequality for a positive real function
• Analytic Inequalities
• Some Inequalities involving (r!)^1/r
• Convex functions and their applications. A contemporary approach

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