Lower and upper bound for parametric ‘Useful’ R-norm information measure

Abstract

A parametric mean length is defined as the quantity Where R > 0 (≠ 1), β > 0, ui > 0, D > 1 is an integer, Σ pi = 1. This being the useful mean length of code words weighted by utilities, ui. Lower and Upper bounds for RβLu are derived in terms of ‘useful’ R-norm information measure