Refinements of the Lower Bounds of the Jensen Functional
Copyright policy )Refinements of the Lower Bounds of the Jensen Functional
The lower bounds of the functional defined as the difference of the right‐hand and the left‐hand side of the Jensen inequality are studied. Refinements of some previously known results are given by applying results from the theory of majorization. Furthermore, some interesting special cases are considered.
Geometry, Convex Functions, Matrix Inequalities and Geometric Means, lower bounds, QA1-939, FOS: Mathematics, refinement, Jensen's inequality, Majorization, Foundations of Geometric Mathematics, Applied Mathematics, FOS: Clinical medicine, Pure mathematics, Jensen's inequality; lower bounds; refinement; majorization, Stability of Functional Equations in Mathematical Analysis, Convex optimization, Convex analysis, Regular polygon, Combinatorics, Dentistry, Physical Sciences, majorization, Inequalities for sums, series and integrals, Medicine, Jensen's inequality; lower bounds; refinement, Geometry and Topology, Calculus (dental), Mathematics
Geometry, Convex Functions, Matrix Inequalities and Geometric Means, lower bounds, QA1-939, FOS: Mathematics, refinement, Jensen's inequality, Majorization, Foundations of Geometric Mathematics, Applied Mathematics, FOS: Clinical medicine, Pure mathematics, Jensen's inequality; lower bounds; refinement; majorization, Stability of Functional Equations in Mathematical Analysis, Convex optimization, Convex analysis, Regular polygon, Combinatorics, Dentistry, Physical Sciences, majorization, Inequalities for sums, series and integrals, Medicine, Jensen's inequality; lower bounds; refinement, Geometry and Topology, Calculus (dental), Mathematics
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