Moscow Mathematical Journal

Volume 22, Issue 3, July–September 2022 pp. 393–400.

The Double Difference Property for the Class of Locally Hölder Continuous Functions

Authors: Rashid A. Aliev (1), Aysel A. Asgarova (2), and Vugar E. Ismailov (3)
Author institution:(1) Institute of Mathematics and Mechanics, NAS of Azerbaijan, Baku, Azerbaijan
Baku State University, Baku, Azerbaijan
(2) Azerbaijan University of Languages, Baku, Azerbaijan
(3) Institute of Mathematics and Mechanics, NAS of Azerbaijan, Baku, Azerbaijan

Summary:

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.

2020 Math. Subj. Class. 26B05, 39A70, 39B22, 47B39..

Keywords: Cauchy functional equation, additive function, difference property, double difference property, modulus of continuity, Hölder continuity.

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