A converse of the mean value theorem made easy

• Autores: Cristinel Mortici
• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 42, Nº. 1, 2011, págs. 89-91
• Idioma: inglés
• DOI: 10.1080/0020739x.2010.500697
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• Resumen

  • The aim of this article is to discuss some results about the converse mean value theorem stated by Tong and Braza [J. Tong and P. Braza, A converse of the mean value theorem, Amer. Math. Monthly 104(10), (1997), pp. 939-942] and Almeida [R. Almeida, An elementary proof of a converse mean-value theorem, Internat. J. Math. Ed. Sci. Tech. 39(8) (2008), pp. 1110-1111]. We provide a simpler proof of the results of Tong and Braza and finally a generalization is given.