A constructive converse of the mean value theorem

B.A.W. Spitters, W.H.M. Veldman

    Research output: Contribution to journalArticleAcademicpeer-review

    Abstract

    Consider the following converse of the Mean Value Theorem. Let f be a differentiable function on [a, b]. If c e (a, b), then there are a and ß in [a, b] such that (f(ß) - f(a))/(ß - a) = f'(c). Assuming some weak conditions to be mentioned in Section 3, Tong and Braza [3] were able to prove this statement. Unfortunately their proof does not provide a method to compute a and ß. We give a constructive proof.
    Original languageEnglish
    Pages (from-to)151-157
    JournalIndagationes Mathematicae. New Series
    Volume11
    Issue number1
    DOIs
    Publication statusPublished - 2000

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