Publicación: THE PROOF OF THREE POWER-EXPONENTIAL INEQUALITIES
Fecha
2014
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Editor
JOURNAL OF INEQUALITIES AND APPLICATIONS
Resumen
IN THIS PAPER WE PROVE THREE POWER-EXPONENTIAL INEQUALITIES FOR POSITIVE REAL NUMBERS. IN PARTICULAR, WE CONCLUDE THAT THIS PROOFS GIVE AFFIRMATIVELY ANSWERS TO THREE, UNTIL NOW, OPEN PROBLEMS (CONJECTURES 4.4, 2.1 AND 2.2) POSED BY CÎRTOAJE (J. INEQUAL. PURE APPL. MATH. 10:21, 2009; J. NONLINEAR SCI. APPL. 4(2):130-137, 2011). MOREOVER, WE PRESENT A NEW PROOF OF THE INEQUALITY ARA+BRB?ARB+BRA FOR ALL POSITIVE REAL NUMBERS A AND B AND R?[0,E]. IN ADDITION, THREE NEW CONJECTURES ARE PRESENTED.
