# ON A FUNCTIONAL EQUATION ASSOCIATED WITH STOCHASTIC DISTANCE MEASURES

• Sahoo, P.K. (department of mathematics, university of louisville)
• Published : 1999.05.01

#### 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.

#### References

1. J. Math. Anal. Appl. v.139 Measures of distance between probability distributions J. K. Chung;PL. Kannappan;C. T. Ng;P. K. Sahoo
2. Int. J. of Math. & Stat. Sci. v.6 Sum form distance measures between probability distributions and functional equations PL. Kannappan;P. K. Sahoo
3. Utilitas Math v.44 On a functional equation associated with the symmetric divergence measures PL. Kannappan;P.K. Sahoo;J. K. Chung
4. Annales Mathematical Silesianal v.8 An equation associated with the distance between probability distributions PL. Kannappan;P. K. Sahoo;J. K. Chung
5. Publ. Math. Debrecen v.46 On a generalization of a functional equation associated with the distance between the probability distributions T. Riedel;P. K. Sahoo
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7. IEEE Trans. Inform. Theory v.IT-28 Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy J. Shore;R. Johnson