The natural algorithmic approach of mixed trigonometric-polynomial problems

Abstract The aim of this paper is to present a new algorithm for proving mixed trigonometric-polynomial inequalities of the form ∑ i = 1 n α i x p i cos q i x sin r i x > 0 $$\sum_{i=1}^{n}\alpha _{i}x^{p_{i}} \cos ^{q_{i}} x\sin ^{r_{i}} x>0 $$ by reducing them to polynomial inequalities. Fin...

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Bibliographic Details
Main Authors: Tatjana Lutovac, Branko Malešević, Cristinel Mortici
Format: Article
Language:English
Published: SpringerOpen 2017-05-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-017-1392-1