O‘zbekiston matematika jurnali Volume 70 Issue 1 (2026)
On a trinomial analogue of Muirhead's inequaty
Azamov, Abdulla
Abstract
It is studied inequalities between three elementary symmetric polynomials being trinomial generalization of the well-known Muirhead's inequality. Some sufficient conditions have been derived. A sufficient and necessary condition is given in the case of two variables.
Muirhead’s inequalitysymmetric polynomialcircle division polynomialarithmetic function
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