PulseExploreJournal ClubDebatesTrendingResearchersJournals
Instagram
HomeExploreJournal ClubTrending
Synapse
⌘+K
Synapse
May 18, 2026Aequationes Mathematicae0 citationsOpen Access

On continuous solutions of a generalized Gołab–Schinzel functional inequality

EJEliza JabłońskaZŻZuzanna Żurek

Key Points

  • The aim is to enhance earlier results related to the Gołab–Schinzel inequality and to explore the properties of generalized solutions.
  • Improvement of results from prior research regarding the Gołab–Schinzel inequality.
  • Analysis of properties of solutions to generalized inequalities involving two continuous functions.
  • Investigation of conditions under which the function g is greater than or equal to function f.
  • The improved results demonstrate stronger bounds under the Gołab–Schinzel inequality.
  • New insights are provided on the relationship between functions f and g within the generalized inequality framework.

Abstract

In the paper we improve some results from 9 concerning the Goła̧b–Schinzel inequality f (x+f (x) y) f (x) f (y) for a continuous unknown function f: R R. We also show some properties of solutions of the generalized inequality f (x+g (x) y) f (x) f (y) for continuous unknown functions f, g: R R provided g f.

Ask AI
Helpful
Bookmark
Share
View Full Paper

Cite This Study

Jabłońska et al. (2026) studied this question.

synapsesocial.com/papers/6a0aaccf5ba8ef6d83b703ebhttps://doi.org/10.1007/s00010-026-01299-1
Ask AI
Helpful
Bookmark
Share
View Full Paper

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Suboperative functions and semi-groups of operators1960 · 13 citations
  2. 2Sur l'équation fonctionnelle $f[x+y\ast f(x)]=f(x)\ast f(y)$2022 · 33 citations
  3. 3Boundedness properties for functional inequalities1982 · 3 citations
  4. 4The Gołab–Schinzel equation and its generalizations2005 · 54 citations
  5. 5The pexiderized Gołab–Schinzel functional equation2011 · 7 citations