Abstract
In this paper we define Cauchy and Pexider operators by applying the well-known Cauchy and Pexider differences and then consider some properties of such operators. Other type of operators (∆-operators, quadratic operators, Jensen operators) that are also very important in the theory of functional equations are investigated. Moreover, some new functional equations closely related to this problem, are discussed as well.
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© 2003 Springer Science+Business Media Dordrecht
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Czerwik, S., Dlutek, K. (2003). Cauchy and Pexider Operators in Some Function Spaces. In: Rassias, T.M. (eds) Functional Equations, Inequalities and Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0225-6_2
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DOI: https://doi.org/10.1007/978-94-017-0225-6_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6406-6
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