A general mean value theorem

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jul 2016Embargo end date: 01 Jul 2015 Hungary Publisher:University of Debrecen/ Debreceni EgyetemJournal:Publicationes Mathematicae Debrecen, volume 89, pages 161-172 (issn: 0033-3883,

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Authors: Páles, Zsolt;

doi: 10.5486/pmd.2016.7443 , 10.48550/arxiv.1507.05324

arXiv: 1507.05324

A general mean value theorem

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Abstract

In this note a general a Cauchy-type mean value theorem for the ratio of functional determinants is offered. It generalizes Cauchy's and Taylor's mean value theorems as well as other classical mean value theorems.

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Hungary

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Keywords

Q1 Science (General) / természettudomány általában, 26D15, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics

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