Publicación: A PROOF OF THE THREE GEOMETRIC INEQUALITIES CONJECTURED BY YU-DONG WU AND H.M. SRIVASTAVA
Fecha
2015
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MATHEMATICAL INEQUALITIES & APPLICATIONS
Resumen
IN THIS SHORT NOTE THE AUTHORS GIVE ANSWERS TO THE THREE OPEN PROBLEMS FORMULATED BY WU AND SRIVASTAVA [{\IT APPL. MATH. LETT. 25 (2012), 1347--1353}]. WE DISPROVE THE PROBLEM 1, BY SHOWING THAT THERE EXISTS A TRIANGLE WHICH DOES NOT SATISFIES THE PROPOSED INEQUALITY. WE PROVE THE INEQUALITIES CONJECTURED IN PROBLEMS 2 AND 3. FURTHERMORE, WE INTRODUCE AN OPTIMAL REFINEMENT OF THE INEQUALITY CONJECTURED ON PROBLEM 3.
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Palabras clave
POWER MEAN INEQUALITY, GEOMETRIC INEQUALITY CONJECTURE, GEOMETRIC INEQUALITIES
