On Hadamard's inequality for the convex mappings defined on a ball in the space and applications
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Publication:4485049
DOI10.7153/mia-03-21zbMath0951.26010OpenAlexW2327604232MaRDI QIDQ4485049
Publication date: 17 December 2000
Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/6fcea6ace3b22207e3a624738cf19ce1aabe682f
Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25)
Related Items (15)
Companions of Hermite-Hadamard Inequality for Convex Functions (II) ⋮ The Hermite-Hadamard inequality in Beckenbach's setting ⋮ A sequence of mappings associated with the Hermite-Hadamard inequalities and applications. ⋮ Multidimensional Hermite-Hadamard inequalities and the convex order ⋮ Hermite-Hadamard and Ostrowski type inequalities on hemispheres ⋮ Some Hermite-Hadamard type integral inequalities for convex functions defined on convex bodies in \(\mathbb{R}^n\) ⋮ On Hermite-Hadamard-type inequalities for systems of partial differential inequalities in the plane ⋮ On Hermite-Hadamard-Type Inequalities for Subharmonic Functions Over Circular Ring Domains ⋮ A family of mappings associated with Hadamard's inequality on a hypercube ⋮ Further refinements of Jensen's type inequalities for the function defined on the rectangle ⋮ Sharp trapezoid and mid-point type inequalities on closed balls in \(\mathbb{R}^3\) ⋮ Some triple integral inequalities for functions defined on three-dimensional bodies via Gauss-Ostrogradsky identity ⋮ On the Hermite-Hadamard inequalities for h-convex functions on balls and ellipsoids ⋮ Generalization and refinements of the Jensen-Mercer inequality with applications ⋮ Hermite-Hadamard type inequalities for multidimensional strongly h-convex functions
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