Extensions and refinements of the Hermite-Hadamard inequality for the triangle (CROSBI ID 290954)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Pavić, Zlatko
engleski
Extensions and refinements of the Hermite-Hadamard inequality for the triangle
The paper deals with the Hermite-Hadamard inequality for convex functions on the triangle. A key role has the mid-triangle whose vertices are midpoints of the given triangle sides. The Hermite-Hadamard inequality is extended to convex combinations of all mid-triangle points except vertices. Discrete and integral refinements of this extension are also considered.
triangle, barycenter, convex combination, convex function, the Hermite-Hadamard inequality
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Podaci o izdanju
11 (4)
2020.
777-787
objavljeno
2041-3165
2041-31734