Author:
Dilcher Karl,Nulton James D.,Stolarsky Kenneth B.
Abstract
Many of the classical inequalities of analysis can be written in the form P(x) ≥ 0 for x ∈ I or P(x) > 0 for x ∈ I′, where P(x) is a polynomial and I′ ⊂ I are certain intervals on the real line. This gives rise to the question of where the zeros of P(x) are located. For example, if f is a polynomial with real zeros, then an inequality of Laguerre [8, p. 171 f.] asserts thatfor all x. A detailed study of the zeros of this particular P(x) has been made [5].
Publisher
Cambridge University Press (CUP)
Cited by
13 articles.
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