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Cauchy and Pexider Operators in Some Function Spaces

In: Functional Equations, Inequalities and Applications

Author

Listed:
  • Stefan Czerwik

    (Silesian University of Technology, Institute of Mathematics)

  • Krzysztof Dlutek

    (Silesian University of Technology, Institute of Mathematics)

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.

Suggested Citation

  • Stefan Czerwik & Krzysztof Dlutek, 2003. "Cauchy and Pexider Operators in Some Function Spaces," Springer Books, in: Themistocles M. Rassias (ed.), Functional Equations, Inequalities and Applications, chapter 0, pages 11-19, Springer.
    • Handle: RePEc:spr:sprchp:978-94-017-0225-6_2
    DOI: 10.1007/978-94-017-0225-6_2
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