Stability of Generalized Jensen Equation on Restricted Domains
Functional Analysis
2021-07-23 v1
Abstract
In this paper, we establish the conditional Hyers-Ulam-Rassias stability of the generalized Jensen functional equation r f \left (\frac{sx+ty}{r}) = s g(x) + t h(y) on various restricted domains such as inside balls, outside balls, and punctured spaces. In addition, we prove the orthogonal stability of this equation and study orthogonally generalized Jensen mappings on Balls in inner product spaces.
Keywords
Cite
@article{arxiv.math/0511320,
title = {Stability of Generalized Jensen Equation on Restricted Domains},
author = {Soon-Mo Jung and Mohammad Sal Moslehian and Prasanna K. Sahoo},
journal= {arXiv preprint arXiv:math/0511320},
year = {2021}
}
Comments
14 pages