Improvements of the Hermite-Hadamard inequality for the simplex
Copyright policy )Improvements of the Hermite-Hadamard inequality for the simplex
In this study, the simplex whose vertices are barycenters of the given simplex facets plays an essential role. The article provides an extension of the Hermite-Hadamard inequality from the simplex barycenter to any point of the inscribed simplex except its vertices. A two-sided refinement of the generalized inequality is obtained in completion of this work.
convex combination ; simplex ; the Hermite-Hadamard inequality, Applied Mathematics, Research, convex combination, Hermite-Hadamard inequality, the Hermite-Hadamard inequality, QA1-939, Inequalities and extremum problems involving convexity in convex geometry, Discrete Mathematics and Combinatorics, simplex, Mathematics, Analysis, Convexity of real functions of several variables, generalizations
convex combination ; simplex ; the Hermite-Hadamard inequality, Applied Mathematics, Research, convex combination, Hermite-Hadamard inequality, the Hermite-Hadamard inequality, QA1-939, Inequalities and extremum problems involving convexity in convex geometry, Discrete Mathematics and Combinatorics, simplex, Mathematics, Analysis, Convexity of real functions of several variables, generalizations
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