An Integral Mean Value Theorem concerning Two Continuous Functions and Its Stability

Monea Mihai

International Journal of Analysis, 2015, vol. 2015, 1-4

Abstract:

The aim of this paper is to investigate an integral mean value theorem proposed by one of the references of this paper. Unfortunately, the proof contains a gap. First, we present a counterexample which shows that this theorem fails in this form. Then, we present two improved versions of this theorem. The stability of the mean point arising from the second result concludes this paper.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:ijanal:894625

DOI: 10.1155/2015/894625

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