ON A FUNCTIONAL EQUATION ASSOCIATED WITH STOCHASTIC DISTANCE MEASURES

Abstract

The general solution of the functional equation f1(pr, qs) + f2(ps, qr) = g(p,q) + h(r,s) for p, q, r, s $\in$] 0, 1[will be investigated without any regularity assumptions on the unknown functions f1, f2, g, h:]0.1[->R.

Keywords

• bilogarithmic function;
• distance measure;
• functional equation

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References

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