A functional equation related to an equality of means problem
Colloquium Mathematicae (2011)
- Volume: 122, Issue: 2, page 289-298
- ISSN: 0010-1354
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topJanusz Matkowski. "A functional equation related to an equality of means problem." Colloquium Mathematicae 122.2 (2011): 289-298. <http://eudml.org/doc/283972>.
@article{JanuszMatkowski2011,
abstract = {
The functional equation
(F(x)-F(y))/(x-y) = (G(x)+G(y))(H(x)+H(y))
where F,G,H are unknown functions is considered. Some motivations, coming from the equality problem for means, are presented.
},
author = {Janusz Matkowski},
journal = {Colloquium Mathematicae},
keywords = {functional equations; mean values; quasi-arithmetic; Lagrangean; Cauchy; Bajraktarević},
language = {eng},
number = {2},
pages = {289-298},
title = {A functional equation related to an equality of means problem},
url = {http://eudml.org/doc/283972},
volume = {122},
year = {2011},
}
TY - JOUR
AU - Janusz Matkowski
TI - A functional equation related to an equality of means problem
JO - Colloquium Mathematicae
PY - 2011
VL - 122
IS - 2
SP - 289
EP - 298
AB -
The functional equation
(F(x)-F(y))/(x-y) = (G(x)+G(y))(H(x)+H(y))
where F,G,H are unknown functions is considered. Some motivations, coming from the equality problem for means, are presented.
LA - eng
KW - functional equations; mean values; quasi-arithmetic; Lagrangean; Cauchy; Bajraktarević
UR - http://eudml.org/doc/283972
ER -
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