Mean-value theorems and some symmetric means

Abstract: Some variants of the Lagrange and Cauchy mean-value theorems lead to the conclusion that means, in general, are not symmetric. They are symmetric iff they coincide (respectively) with the Lagrange and Cauchy means. Under some regularity assumptions, we determine the form of all the relevant symmetric means.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Mean-value theorems and some symmetric means ; volume:46 ; number:3 ; year:2013 ; pages:461-474 ; extent:14
Demonstratio mathematica ; 46, Heft 3 (2013), 461-474 (gesamt 14)

Creator
Matkowski, Janusz

DOI
10.1515/dema-2013-0472
URN
urn:nbn:de:101:1-2411181437553.716040141911
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:33 AM CEST

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Associated

  • Matkowski, Janusz

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