Basic Equations: Cauchy and Pexider Equations

  • Palaniappan KannappanEmail author
Part of the Springer Monographs in Mathematics book series (SMM)


In this chapter, Cauchy’s fundamental equations are studied, some algebraic conditions and generalizations are considered, and alternate equations, conditions on restricted domains, Jensen’s equation, some special cases of Cauchy’s equations, extensions of the additive equations, Pexider equations and their extensions, some applications in economics, the allocation problem, and sums of powers of first n natural numbers are treated.


Functional Equation Basic Equation Positive Measure Continuous Solution Additive Equation 
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Copyright information

© Springer-Verlag US 2009

Authors and Affiliations

  1. 1.Department of Pure MathematicsUniversity of WaterlooWaterloo ONCanada

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