Polynomial set-valued functions
Annales Polonici Mathematici (1996)
- Volume: 65, Issue: 1, page 55-65
- ISSN: 0066-2216
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topJoanna Szczawińska. "Polynomial set-valued functions." Annales Polonici Mathematici 65.1 (1996): 55-65. <http://eudml.org/doc/270019>.
@article{JoannaSzczawińska1996,
abstract = {The aim of this paper is to give a necessary and sufficient condition for a set-valued function to be a polynomial s.v. function of order at most 2.},
author = {Joanna Szczawińska},
journal = {Annales Polonici Mathematici},
keywords = {polynomial set-valued functions; difference operators; biadditive functions; Jensen function},
language = {eng},
number = {1},
pages = {55-65},
title = {Polynomial set-valued functions},
url = {http://eudml.org/doc/270019},
volume = {65},
year = {1996},
}
TY - JOUR
AU - Joanna Szczawińska
TI - Polynomial set-valued functions
JO - Annales Polonici Mathematici
PY - 1996
VL - 65
IS - 1
SP - 55
EP - 65
AB - The aim of this paper is to give a necessary and sufficient condition for a set-valued function to be a polynomial s.v. function of order at most 2.
LA - eng
KW - polynomial set-valued functions; difference operators; biadditive functions; Jensen function
UR - http://eudml.org/doc/270019
ER -
References
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- [2] R. Ger, On extensions of polynomial functions, Results Math. 26 (1994), 281-289. Zbl0829.39006
- [3] M. Kuczma, An Introduction to the Theory of Functional Equations and Inequalities, PWN and Uniw. Śl., Warszawa-Kraków-Katowice, 1985.
- [4] K. Nikodem, K-convex and K-concave set valued functions, Zeszyty Naukowe Politech. Łódzkiej, Mat. 559, Rozprawy Naukowe 114, 1989.
- [5] H. Rådström, An embedding theorem for spaces of convex sets, Proc. Amer. Math. Soc. 3 (1952), 165-169.
- [6] H. Rådström, One-parameter semigroups of subsets of a real linear space, Ark. Mat. 4 (1960), 87-97. Zbl0093.30401
- [7] A. Smajdor, On a functional equation, Ann. Math. Sil. 8 (1994), 217-226. Zbl0822.39006
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