In this study, the refinements of Maclaurin's and Newton's inequalities are given. These refinements are obtained by applying the results on optimality conditions of abstract convex functions. When doing this, we obtain lower bounds for the solutions of some special rational equations.
Abstract convexity, Maclaurin inequality, Newton inequality
TINAZTEPE, GÜLTEKİN and TINAZTEPE, RAMAZAN
"A refinement of Newton and Maclaurin inequalities through abstract convexity,"
Turkish Journal of Mathematics: Vol. 46:
3, Article 2.
Available at: https://journals.tubitak.gov.tr/math/vol46/iss3/2