A refinement of Newton and Maclaurin inequalities through abstract convexity

Authors

GÜLTEKİN TINAZTEPE
RAMAZAN TINAZTEPE

DOI

10.55730/1300-0098.3117

Abstract

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.

Keywords

Abstract convexity, Maclaurin inequality, Newton inequality

First Page

699

Last Page

709

Recommended Citation

TINAZTEPE, GÜLTEKİN and TINAZTEPE, RAMAZAN (2022) "A refinement of Newton and Maclaurin inequalities through abstract convexity," Turkish Journal of Mathematics: Vol. 46: No. 3, Article 2. https://doi.org/10.55730/1300-0098.3117
Available at: https://journals.tubitak.gov.tr/math/vol46/iss3/2