[HTML][HTML] General regular variation, Popa groups and quantifier weakening

NH Bingham, AJ Ostaszewski - Journal of Mathematical Analysis and …, 2020 - Elsevier
We introduce general regular variation, a theory of regular variation containing the existing
Karamata, Bojanic-Karamata/de Haan and Beurling theories as special cases. The unifying …

Continuous solutions of conditional composite type functional equations

J Chudziak, Z Kočan - Results in Mathematics, 2014 - Springer
It is known that some problems in meteorology and fluid dynamics lead to Goła̧b–Schinzel
type equations on a restricted domain. Inspired by a question of Professor L. Reich we …

Homomorphisms from functional equations: the Goldie equation

AJ Ostaszewski - Aequationes mathematicae, 2016 - Springer
The theory of regular variation, in its Karamata and Bojanić–Karamata/de Haan forms, is
long established and makes essential use of the Cauchy functional equation. Both forms are …

Functional equations of the Gołab-Schinzel type on a cone

J Chudziak, Z Kočan - Monatshefte für Mathematik, 2015 - Springer
Functional equations of the Goła̧b-Schinzel type on a cone | Monatshefte für Mathematik Skip
to main content SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home …

Sequential regular variation: Extensions of Kendall's Theorem

NH Bingham, AJ Ostaszewski - The Quarterly Journal of …, 2020 - academic.oup.com
Regular variation is a continuous-parameter theory; we work in a general setting, containing
the existing Karamata, Bojanic–Karamata/de Haan and Beurling theories as special cases …

Homomorphisms from functional equations in probability

AJ Ostaszewski - Developments in Functional Equations and Related …, 2017 - Springer
We showcase the significance to probability theory of homomorphisms and their simplifying
rôle by reference to the Goldie functional equation (GFE), an equation at the heart of regular …

Non-periodic solutions of the Goła̧b–Schinzel type functional equation

J Chudziak - Results in Mathematics, 2023 - Springer
Non-periodic solutions of the Goła̧b–Schinzel type functional equation | Results in Mathematics
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[HTML][HTML] Stability problem for the composite type functional equations

RP Agarwal, J Brzdęk, J Chudziak - Expositiones Mathematicae, 2018 - Elsevier
Composite type functional equations in several variables play a significant role in various
branches of mathematics and they have several interesting applications. Therefore their …

Report of Meeting: The Twenty-first Katowice–Debrecen Winter Seminar on Functional Equations and Inequalities Brenna (Poland), February 2–5, 2022

P Burai, M Bessenyei, Z Boros… - Annales Mathematicae …, 2022 - opus.us.edu.pl
The Twenty-first Katowice–Debrecen Winter Seminar on Functional Equations and
Inequalities was held in Hotel Kotarz in Brenna, Poland, from February 2 to February 5 …

[PDF][PDF] On a composite functional equation related to the Golab-Schinzel equation

ME Gordji, TM Rassias, M Tial… - Bulletin of the Korean …, 2016 - academia.edu
Let X be a vector space over a field K of real or complex numbers and k∈ N. We prove the
superstability of the following generalized Golab–Schinzel type equation f (x1+ p∑ i= 2 xif …