A Generalised Trapezoid Type Inequality for Convex Functions

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Dragomir, Sever S (2002) A Generalised Trapezoid Type Inequality for Convex Functions. RGMIA research report collection, 5 (1).


A generalised trapezoid inequality for convex functions and applications for quadrature rules are given. A refinement and a counterpart result for the Hermite-Hadamard inequalities are obtained and some inequalities for pdf’s and (HH)−divergence measure are also mentioned.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17684
Subjects Historical > FOR Classification > 0102 Applied Mathematics
Historical > FOR Classification > 0103 Numerical and Computational Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords generalised trapezoid inequality, Hermite-Hadamard inequality, probability density functions, divergence measures
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