On functional equations connected with directed divergence, inaccuracy and generalized directed divergence

Palaniappan L. Kannappan and Che Tat Ng

Vol. 54 (1974), No. 1, 157–167

DOI: 10.2140/pjm.1974.54.157

Abstract

The measures directed divergence, inaccuracy as well as generalized directed divergence occurring in information theory can be characterized by the symmetry, expansibility, branching, and additivity properties together with some regularity and initial conditions. In this paper some functional equations generalizing those implicit in these characterizations shall be treated.

Mathematical Subject Classification 2000

Primary: 94A15

Milestones

Received: 15 June 1973

Revised: 16 January 1974

Published: 1 September 1974