# 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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