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math.CA2025
A general form of Newton-Maclaurin type inequalities
Changyu Ren
In this paper, we extend the classical Newton-Maclaurin inequalities to functions $S_{k;s}(x)=E_k(x)+\dsum_{i=1}^s \al_i E_{k-i}(x)$, which are formed by linear combinations of mul…
math.CA2024
Newton-Maclaurin type inequalities for linear combinations of elementary symmetric functions
Shuqi Hu, Changyu Ren, Ziyi Wang
In this paper, we establish Newton-Maclaurin type inequalities for functions arising from linear combinations of primitively symmetric polynomials. This generalization extends the…