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Hyers–Ulam–Rassias Stability of Functional Equations with Integrals in B-Metric Frameworks

open access: gold
Jagjeet Jakhar   +6 more
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The Hyers–Ulam–Rassias stability of the pexiderized equations

Nonlinear Analysis: Theory, Methods & Applications, 2005
Abstract In this paper we prove the Hyers–Ulam–Rassias stability of the equations f ( x + y ) - g ( x ) - h ( y ) = 0 , f ( x + y ) + g ( x - y ) - 2 h ( x ) - 2 k ( y ) = 0 , f ( xy ) + g ( x + y ) - h ( xy + x ) - k ( y ) = 0 .
Dal-Won Park, Yang-Hi Lee
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On Hyers-Ulam-Rassias stability of functional equations [PDF]

open access: possibleActa Mathematica Sinica, English Series, 2008
In this paper, we investigate the stability of functional equation given by the pseudo-additive mappings of the mixed quadratic and Pexider type in the spirit of Hyers, Ulam, Rassias and Gavruta.
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