Year: 2026
Type: article
Abstract: In the paper we improve some results from [9] concerning the Goła̧b–Schinzel inequality $$f(x+f(x)y)\le f(x)f(y)$$ for a continuous unknown function $$f:\mathbb {R}\rightarrow \mathbb {R}$$ . We also show some properties of solutions of the generalized inequality $$f(x+g(x)y)\le f(x)f(y)$$ for continuous unknown functions $$f,g:\mathbb {R}\rightarrow \mathbb {R}$$ provided $$g\ge f$$ .
Source: Aequationes Mathematicae
Authors: Eliza Jabłońska, Zuzanna Żurek
Institutions: AGH University of Krakow, Jan Kochanowski University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W7161394703