Batra, PrashantPrashantBatra2020-11-242020-11-242011Mathematical Inequalities and Applications 2 (14): 313-321 (2011)http://hdl.handle.net/11420/7924Inequalities relating three coefficients of the even or odd part of a Hurwitz-stable polynomial have been established recently via the Newton-MacLaurin inequalities, and via optimization techniques for multivariate functions on the positive orthant. From the theory of quadratic forms we derive a family of strict inequalities which includes and generalizes the known inequalities. For polynomials of higher degree quantifiable improvements are obtained. Benefit of these inequalities is low-cost instability testing for polynomials with varying coefficients. © by Element.en1848-996620112313321ElementCauchy indexInterval polynomialQuadratic formsStability conditionsInformatikMathematikJournal Article10.7153/mia-14-25Other