<abstract xmlns="http://www.w3.org/1999/xhtml"> We prove the Hyers-Ulam stability on restricted domains of generalized Jensen functional equation <inline-formula><alternatives><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/Untitled-1.jpg"></inline-graphic></alternatives></inline-formula>where <inline-formula><alternatives><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/Untitled-2.jpg"></inline-graphic></alternatives></inline-formula>. These results are applied to study of an asymptotic behavior of these functional equation. </abstract>

We prove the Hyers-Ulam stability on restricted domains of generalized Jensen functional equation where . These results are applied to study of an asymptotic behavior of these functional equation.

Generalized Jensen functional equation on restricted domain

Department of Mathematics Faculty of Sciences University of Ibn Tofail Kenitra, Morocco

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Generalized Jensen functional equation on restricted domain"}

We prove the Hyers-Ulam stability on restricted domains of generalized Jensen functional equation where . These results are applied to study of an asymptotic...

Generalized Jensen functional equation on restricted domain

Published Online: Dec 11, 2014

Page range: 29 - 39

Received: Feb 06, 2014

Accepted: Jun 10, 2014

DOI: https://doi.org/10.2478/awutm-2014-0003

Keywords
Jensen functional equation, K-quadratic functional equation, Pexider functional equation, Hyers-Ulam stability

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Generalized Jensen functional equation on restricted domain

Published Online: Dec 11, 2014

Page range: 29 - 39

Received: Feb 06, 2014

Accepted: Jun 10, 2014

DOI: https://doi.org/10.2478/awutm-2014-0003

KeywordsJensen functional equation, K-quadratic functional equation, Pexider functional equation, Hyers-Ulam stability

© Annals of West University of Timisoara - Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Jensen functional equation, K-quadratic functional equation, Pexider functional equation, Hyers-Ulam stability