Soon-Mo Jung, Mohammad Sal Moslehian, Prasanna K. Sahoo
Published 2005-11-12Version 1
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.
Satbility of Ternary Homomorphisms via Generalized Jensen Equation
Stability of ternary Jordan homomorphisms and derivations associated to the generalized Jensen equation
Quadratic Reverses of the Triangle Inequality in Inner Product Spaces
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