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- Title
SOME REMARK ON THE FUNCTIONAL EQUATION.
- Authors
Glavosits, Tamás; Házy, Attila; Túri, József
- Abstract
The appearance of function equations can be traced back to a long time ago. The oldest and perhaps the best-known function equation is the Cauchy function equation. The Cauchy function equation is as follow ... The trivial solution of Cauchy equation is simple, but the general solution is very complex. Later several function equations appeared, which either arose during some practical problem or became known from a theoretical perspective. The function equation Hosszú is also such a function equation, introduced by Miklós Hosszú based on theoretical considerations. The function equation Hosszú has the form below: We further generalize the above equation and give its solution. After the generalization, we get the following function equation. ... with unknown functions ..., and binary operation defined by ... for all ... where ... is a fixed constant.
- Subjects
CAUCHY integrals; CAUCHY problem; ADDITIVE functions; SUPERADDITIVITY; EQUATIONS
- Publication
Multidiszciplináris Tudományok, 2023, Vol 13, Issue 2, p187
- ISSN
2062-9737
- Publication type
Article
- DOI
10.35925/j.multi.2023.2.17