SOLUTIONS OF A GOŁA̧B–SCHINZEL-TYPE FUNCTIONAL EQUATION BOUNDED ON ‘BIG’ SETS IN AN ABSTRACT SENSE-Reference-Cited by-同舟云学术

SOLUTIONS OF A GOŁA̧B–SCHINZEL-TYPE FUNCTIONAL EQUATION BOUNDED ON ‘BIG’ SETS IN AN ABSTRACT SENSE

Published:2010-03-05 Issue:3 Volume:81 Page:430-441
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

JABŁOŃSKA ELIZA

Abstract

AbstractIt is well known that an exponential real function, which is Lebesgue measurable (Baire measurable, respectively) or bounded on a set of positive Lebesgue measure (of the second category with the Baire property, respectively), is continuous. Here we consider bounded on ‘big’ set solutions of an equation generalizing the exponential equation as well as the Goła̧b–Schinzel equation. Moreover, we unify results into a more general and abstract case.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference22 articles.

1. Sur la dualité entre la première catégorie et la mesure nulle

2. Measure and Category

3. On solutions of a common generalization of the Goła̧b–Schinzel equation and of the addition formulae

4. Functions having the Darboux property and satisfying some functional equation

5. On solutions of a generalization of the Gołab–Schinzel equation

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