Determination of Conditional Extremes of the Functions of Fundamental Symmetric Polynomials

Authors

  • Catalin Angelo Ioan Danubius University

Keywords:

extreme; symmetric polynomials; inequality

Abstract

The paper demonstrates how the conditional extremes of the functions of fundamental symmetric polynomials, in the case of the positivity of variables, are obtained either by canceling the partial derivatives in relation to the polynomials, or by the equality of all variables.

References

1. Chirciu M. (2014), Algebraic inequalities from initiation to performance, Parallel Publishing House 45
2. Ioan C.A. (2021), Mathematics.01.Algebra, Zigotto Publishers, Galați
3. Spring D. (1985), On the second derivative test for constrained local extrema, American Mathematical Monthly, vol.92, pp.631-643

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Published

2022-03-07

Issue

Section

Economic Development, Technological Change, and Growth