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Full-Text: http://hdl.handle.net/20.500.12128/460
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Article . 2017
License: CC BY NC ND
Data sources: Repozytorium Uniwersytetu Śląskiego RE-BUŚ
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On a Jensen-Hosszu equation I

descriptionPublicationkeyboard_double_arrow_right Article 26 Nov 2017 Poland English
Authors: Kominek, Zygfryd;

handle: 20.500.12128/460

On a Jensen-Hosszu equation I

Abstract

We solve functional equation of the form f(x + y − xy) + f(xy) = 2f((x+y)/2) in the class of functions transforming the space of all reals into itself. We also prove that this equation is stable in the Hyers-Ulam’s sense.

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Poland
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Keywords

Functional Equation, Hyers-Ulam stability, Jensen and Hoszú functional equations

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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!
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