This article is cited in 1 paper

The double difference property for the class of locally Hölder continuous functions

Rashid A. Aliev^ab, Aysel A. Asgarova^c, Vugar E. Ismailov<sup>a

a</sup> Institute of Mathematics and Mechanics, NAS of Azerbaijan, Baku, Azerbaijan
^b Baku State University, Baku, Azerbaijan
^c Azerbaijan University of Languages, Baku, Azerbaijan

Abstract: In this paper, we show that the pair of classes of locally Hölder continuous functions (considered on $\mathbb{R}$ and $\mathbb{R}^{2}$, respectively) has the double difference property.

Key words and phrases: cauchy functional equation, additive function, difference property, double difference property, modulus of continuity, Hölder continuity.

MSC: 26B05, 39A70, 39B22, 47B39

Language: English

DOI: 10.17323/1609-4514-2022-22-3-393-400