article
Ulam stability of radical functional equation in the sense of Hyers, Rassias and Gavruta
International Journal of Statistics and Applied Mathematics · 2016 · Vol. 1(4) · pp. 06–12
Abstract
The aim of this paper is to obtain the general solution of a radical functional equation of the form s(x+y+2√xy)=s(x)+s(y) and investigate its generalized Hyers-Ulam-Rassias stability. Further, we extend the results pertinent to D.H. Hyers, Th.M. Rassias and J.M. Rassias. We also provide counter-examples for critical values relevant to Hyers-Ulam-Rassias stability, Ulam-Gavruta-Rassias stability and J.M. Rassias stability controlled by mixed product-sum of powers of norms.
Chemical Synthesis and ReactionsFunctional Equations Stability ResultsPharmacy and Medical PracticesStability (learning theory)MathematicsFunctional equationProduct (mathematics)Pure mathematicsMathematical analysisComputer scienceDifferential equation
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