A Numerical Procedure for Proving Specific Strict One-Variable Inequalities in Specific Finite Intervals

Abstract

A numerical procedure and its MAPLE implementation capable of rigorously, albeit in a brute-force manner, proving specific strict one-variable inequalities in specific finite intervals is described. The procedure is useful, for instance, to affirm strict lower bounds of specific functions.

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References in corpus (2)

• Sturm Theorem and a Refinement of Vietoris Inequality for Cosine Polynomials
• Nonnegative Trigonometric Polynomials and Sturms Theorem