Pregled bibliografske jedinice broj: 1111402
Extensions and refinements of the Hermite-Hadamard inequality for the triangle
Extensions and refinements of the Hermite-Hadamard inequality for the triangle // Mathematics in Engineering, Science and Aerospace, 11 (2020), 4; 777-787 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 1111402 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Extensions and refinements of the Hermite-Hadamard inequality for the triangle
Autori
Pavić, Zlatko
Izvornik
Mathematics in Engineering, Science and Aerospace (2041-3165) 11
(2020), 4;
777-787
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
triangle, barycenter, convex combination, convex function, the Hermite-Hadamard inequality
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
Citiraj ovu publikaciju:
Časopis indeksira:
- Scopus
