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Stability of a quadratic Jensen type functional equation in the spaces of generalized functions
Authors:Young-Su Lee  Soon-Yeong Chung
Affiliation:Department of Mathematics and Program of Integrated Biotechnology, Sogang University, Seoul 121-741, Republic of Korea
Abstract:
Making use of the fundamental solution of the heat equation we find the solution and prove the stability theorem of the quadratic Jensen type functional equation
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Keywords:Quadratic functional equation   Jensen functional equation   Stability   Generalized function   Heat kernel   Gauss transform
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