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arXiv · 2204.01481

Automated Proof of Mixed Trigonometric-polynomial Inequalities in the Unbounded Case

Shiping Chen·Xinyu Ge
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Abstract

Mixed trigonometric-polynomials frequently occur in applications in physics, numerical analysis and engineering, the algorithm has been already proposed to determine its sign on (0,{pi}/2]. This paper proposes a procedure to extend the interval to (0, +{\inf}). Such generalization is by no means trivial, for the process depends on boundedness of roots and square-free factorization of mixed trigonometric-polynomials.

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Shiping Chen, Xinyu Ge. 2022-03-24. Automated Proof of Mixed Trigonometric-polynomial Inequalities in the Unbounded Case. https://arxiv.org/abs/2204.01481

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