Analogues of Fermat's extreme value theorem and Cauchy's mean value theorem in commutative algebras

V. Shpakivskyi

doi:10.15421/242611

Analogues of Fermat's extreme value theorem and Cauchy's mean value theorem in commutative algebras

V. Shpakivskyi (Institute of Mathematics of NAS of Ukraine), https://orcid.org/0000-0003-4256-8975

Abstract

In this article, we prove analogues of classical Fermat's extreme value theorem and Cauchy's mean value theorem for functions taking values in commutative algebras.

Keywords

Fermat's extreme value theorem; extreme value; Cauchy's mean value theorem; commutative associative Banach algebra; monogenic function

MSC 2020

30G35; 30G30

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References

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