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Basic Equations: Cauchy and Pexider Equations

  • Palaniappan Kannappan
Chapter
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

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.

Keywords

Functional Equation Basic Equation Positive Measure Continuous Solution Additive Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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