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A. Markov’s inequality was the first ever inequality proved for derivatives of polynomials: given a polynomial of a particular degree and a bound on its maximum on an interval, it provides the sharp estimate on the maximum of its derivative on that interval. A. Markov proved it to answer a question posed by D. Mendeleev regarding alcohol measurements. We briefly present that story.

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The Historical Background of A. Markov’s Inequality

  • 会议论文

  • 发表日期：

    2025年

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  • Armen Vagharshakyan

摘要

A. Markov’s inequality was the first ever inequality proved for derivatives of polynomials: given a polynomial of a particular degree and a bound on its maximum on an interval, it provides the sharp estimate on the maximum of its derivative on that interval. A. Markov proved it to answer a question posed by D. Mendeleev regarding alcohol measurements. We briefly present that story.