Cauchy's Functional Equation with Extra Conditions
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- Quick introduction: It is known that Cauchy's functional equation, f(x+y)=f(x)+f(y)f(x+y)= f(x) + f(y)f(x+y)=f(x)+f(y) from reals to reals has f(x)=cxf(x)=cxf(x)=cx as a set of …
By Vincent Huang, Evan Chen
- The following equaton is called Cauchy's functional equation: f(x+y)=f(x)+f(y)f(x+y) = f(x)+f(y)f(x+y)=f(x)+f(y) Functions that follow this equation are also called additive fun…
By Adib Hasan