A Hermite-Hadamard type inequality with applications to the estimation of moments of continuous random variables

DOI10.1016/j.amc.2014.12.129zbMath1410.26036OpenAlexW1985930353MaRDI QIDQ1643349

Bogdan Gavrea

Publication date: 19 June 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.12.129

zbMATH Keywords

Hermite-Hadamard inequalityquasi-convex functionsmoments of random variables

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items

\((k,s)\)-Riemann-Liouville fractional integral inequalities for continuous random variables ⋮ Some integral inequalities of the Hermite-Hadamard type for s-convex stochastic processes on n-coordinates ⋮ New weighted Hermite-Hadamard type inequalities for differentiable \(h\)-convex and quasi \(h\)-convex mappings ⋮ New weighted Hermite-Hadamard type inequalities for differentiable strongly convex and strongly quasi-convex mappings

Cites Work

• Refinements of Hadamard-type inequalities for quasi-convex functions with applications to trapezoidal formula and to special means
• Inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula.
• Some inequalities for differentiable convex and concave mappings
• Some inequalities for differentiable convex mapping with application to weighted midpoint formula and higher moments of random variables
• On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula
• Inequalities for differentiable mappings with application to special means and quadrature formulæ