On Parametric Generalization of ‘Useful’ R-norm Information Measure
D. S. Hooda
Jaypee University of Engineering and Technology, A. B. Road, Raghogarh – 473226, Dist. Guna, M. P, India.
Keerti Upadhyay *
Jaypee University of Engineering and Technology, A. B. Road, Raghogarh – 473226, Dist. Guna, M. P, India.
D. K. Sharma
Jaypee University of Engineering and Technology, A. B. Road, Raghogarh – 473226, Dist. Guna, M. P, India.
*Author to whom correspondence should be addressed.
Abstract
In the literature of information measure, there exist many well known parametric generalized information measures with their merits and limitations. In the present paper a ‘useful’ R-norm information measure of type and degree is introduce and characterized axiomatically. This new measure is parametric generalization of ‘useful’ R-norm information measures introduced and characterized by the authors earlier refer to Hooda et al. [11]. Properties of the new generalized ‘useful’ R-norm information measure of type and degree have also been studied. The new measure has been applied in studying the lower and upper bounds of a generalized ‘useful’ R-norm mean codeword length.
Keywords: R-norm information, mean codeword length, Kraft’s inequality, code alphabets and Holder’s inequality