  We prove some "power" generalizations of Marcus-Lopes-style (including McLeod
and Bullen) concavity inequalities for elementary symmetric polynomials, and
convexity inequalities (of McLeod and Baston) for complete homogeneous
symmetric polynomials. Finally, we present sundry concavity results for
elementary symmetric polynomials, of which the main result is a concavity
theorem that among other implies a well-known log-convexity result of Muir
(1972/74) for positive definite matrices.
