Basic Equations: Cauchy and Pexider Equations
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.
KeywordsFunctional Equation Basic Equation Positive Measure Continuous Solution Additive Equation
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