By using Mařík's theorem and the theory of multiplier sequences, we give some sufficient conditions for proving the higher order Turán inequalities for nonnegative sequences. As an immediate consequence, we present a simple proof of the higher order Turán inequalities for the Boros–Moll sequence, which were recently established by Jeremy Guo and then reproved by James Zhao.
No takes yet. Share an insight, caveat, or question.
Wang et al. (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: