# Mean values for vector valued functions and corresponding functional equations

Commentationes Mathematicae (2013)

- Volume: 53, Issue: 2
- ISSN: 2080-1211

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topRoman Ger, and Maciej Sablik. "Mean values for vector valued functions and corresponding functional equations." Commentationes Mathematicae 53.2 (2013): null. <http://eudml.org/doc/292416>.

@article{RomanGer2013,

abstract = {Although, in general, a straightforward generalization of the Lagrange mean value theorem for vector valued mappings fails to hold we will look for what can be salvaged in that situation. In particular, we deal with Sanderson’s and McLeod’s type results of that kind (see [9] and [7], respectively). Moreover, we examine mappings with a prescribed intermediate point in the spirit of the celebrated Aczél’s theorem characterizing polynomials of degree at most 2 (cf. [1]).},

author = {Roman Ger, Maciej Sablik},

journal = {Commentationes Mathematicae},

keywords = {mean value theorems, quasi-arithmetic means, Gauss-iteration, characterization of quadratic polynomials},

language = {eng},

number = {2},

pages = {null},

title = {Mean values for vector valued functions and corresponding functional equations},

url = {http://eudml.org/doc/292416},

volume = {53},

year = {2013},

}

TY - JOUR

AU - Roman Ger

AU - Maciej Sablik

TI - Mean values for vector valued functions and corresponding functional equations

JO - Commentationes Mathematicae

PY - 2013

VL - 53

IS - 2

SP - null

AB - Although, in general, a straightforward generalization of the Lagrange mean value theorem for vector valued mappings fails to hold we will look for what can be salvaged in that situation. In particular, we deal with Sanderson’s and McLeod’s type results of that kind (see [9] and [7], respectively). Moreover, we examine mappings with a prescribed intermediate point in the spirit of the celebrated Aczél’s theorem characterizing polynomials of degree at most 2 (cf. [1]).

LA - eng

KW - mean value theorems, quasi-arithmetic means, Gauss-iteration, characterization of quadratic polynomials

UR - http://eudml.org/doc/292416

ER -

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