Cauchy and Pexider Operators in Some Function Spaces

Stefan Czerwik () and Krzysztof Dlutek ()
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Stefan Czerwik: Silesian University of Technology, Institute of Mathematics
Krzysztof Dlutek: Silesian University of Technology, Institute of Mathematics

Chapter Chapter 2 in Functional Equations, Inequalities and Applications, 2003, pp 11-19 from Springer

Abstract: 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.

Keywords: Cauchy and Pexider differences; linear operators. (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-0225-6_2

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DOI: 10.1007/978-94-017-0225-6_2

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