Servicios Personalizados
Revista
Articulo
Indicadores
- Citado por SciELO
- Accesos
Links relacionados
- Citado por Google
- Similares en SciELO
- Similares en Google
Compartir
Revista Integración
versión impresa ISSN 0120-419Xversión On-line ISSN 2145-8472
Resumen
CORONEL, ANÍBAL y LOZADA, ESPERANZA. A new proof for a Özban conjecture. Integración - UIS [online]. 2021, vol.39, n.2, pp.129-135. Epub 18-Abr-2022. ISSN 0120-419X. https://doi.org/10.18273/revint.v39n2-2021001.
In this paper, we present an elementary short proof of the following algebraic-trigonometric inequality of Laub-Ilani type: cos(xy )+cos(yx) ≥ cos(xx) + cos(yy) for x,y ∈ [0,π/2] which was conjectured by Ozban ['New algebraic-trigonometric inequalities of Laub-Ilani type', Bull. Aust. Math. Soc. 96 (2017), 87-97] and recently proved by Matejička ['Proof of one open inequality of Laub-Ilani type', Journal of Mathematical Inequalities, 14 (2020), 83-98]. The proof is based on the properties of the power-exponential and trigonometric functions.
Palabras clave : Laub-Ilani inequality; trigonometric inequality; algebraic-trigonometric inequality; power-exponential inequality.