Title: Generalised Hyers-Ulam Product-Sum Stability of a Cauchy Type Additive Functional Equation
Abstract: 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 ad- ditive functional equation and investigate the generalised Hyers-Ulam product-sum stability of this equation. 2000 Mathematics Subject Classifications: Primary 39B. Secondary 26D.
Publication Year: 2011
Publication Date: 2011-01-30
Language: en
Type: article
Access and Citation
Cited By Count: 6
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot