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1. On stability of the Jensen equation on step-three nilpotent groups.

Author

Faĭziev, Valeriĭ A., Powers, Robert C., and Sahoo, Prasanna K.

Subjects
*JENSEN'S inequality, *INTEGRAL inequalities, *NILPOTENT groups, *LOCALIZATION theory, *INTEGRALS, *MATHEMATICAL inequalities
Abstract

The notion of (ψ,γ)-stability of the Jensen functional equation was introduced in [Nonlinear Funct. Anal. Appl. 11 (2006), 759-791] and it was shown that the Jensen functional equation is (ψ,γ)-stable on any step-two nilpotent group. In this paper, we prove a more general result by showing that the Jensen functional equation is (ψ,γ)-stable on step-three nilpotent groups. [ABSTRACT FROM AUTHOR]

Published
2013
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