Generalised Hyers-Ulam Product-Sum Stability of a Cauchy Type Additive Functional Equation
Keywords:
Generalised “product-sum†Hyers-Ulam stability, Cauchy type additive functional equationAbstract
In 1940 (and 1964) S.M. Ulam proposed the well-known Ulam stability problem. In 1941 D.H. Hyers solved the Hyers-Ulam problem for linear mappings. In 2008, J. M. Rassias introduced the generalised Hyers-Ulam "product-sum" stability. In this paper we introduce a Cauchy type additive functional equation and investigate the generalised Hyers-Ulam "product-sum" stability of this equation.Downloads
Published
2011-01-30
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Functional Analysis
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How to Cite
Generalised Hyers-Ulam Product-Sum Stability of a Cauchy Type Additive Functional Equation. (2011). European Journal of Pure and Applied Mathematics, 4(1), 50-58. https://ejpam.com/index.php/ejpam/article/view/677