A tight Hermite-Hadamard inequality and a generic method for comparison between residuals of inequalities with convex functions (Q2166150)
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scientific article; zbMATH DE number 7574631
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A tight Hermite-Hadamard inequality and a generic method for comparison between residuals of inequalities with convex functions |
scientific article; zbMATH DE number 7574631 |
Statements
A tight Hermite-Hadamard inequality and a generic method for comparison between residuals of inequalities with convex functions (English)
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23 August 2022
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The paper presents a version of the right-hand side of the Hermite-Hadamard inequality, using a probability measure and involving a parameter. The presence of the parameter has direct effects: The error of the estimation may be better and equality case may occur not only for affine functions. Numerical experiments are also discussed.
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Jensen's inequality
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Lebesgue-Stieltjes integral
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probability measure
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average residual
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