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On the equality of quasi-arithmetic and Lagrangian means

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 2011 English Publisher:Elsevier BVJournal:Journal of Mathematical Analysis and Applications, volume 382, pages 86-96 (issn: 0022-247X, Copyright policy )
Authors: Páles, Zsolt;

doi: 10.1016/j.jmaa.2011.04.033

On the equality of quasi-arithmetic and Lagrangian means

Abstract

Six cases of equality are found between quasi-arithmetic and Lagrangian means for continuous monotonic functions.

Related Organizations
Keywords

Lagrangian mean, equality problem, Applied Mathematics, Equality problem, quasi-arithmetic mean, Analysis, Quasi-arithmetic mean, Means

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    popularity
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    influence
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    impulse
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Top 10%
Top 10%
Average
hybrid