Author:
Boros Zoltán,Garda-Mátyás Edit
Abstract
AbstractIn this paper we give necessary conditions for quadratic functions $$ f :\mathbb {R}\rightarrow \mathbb {R}$$
f
:
R
→
R
that satisfy the additional equation $$ y^2 f(x) = x^2 f(y) $$
y
2
f
(
x
)
=
x
2
f
(
y
)
under the condition $$ xy = 1 \,$$
x
y
=
1
.
Funder
Nemzeti Kutatási Fejlesztési és Innovációs Hivatal
University of Debrecen
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,General Mathematics
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