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A new weighted (α,β)-norm information measure with application in coding theory


  • Joshi, Rajesh
  • Kumar, Satish


In the present communication, we introduce a quantity which is called weighted (α,β)-norm entropy and discuss its some major properties with Shannon and other entropies in the literature. Corresponding to the proposed entropy, a new weighted directed divergence measure has been introduced and its validity is established. Further, we give the application of (α,β)-norm entropy in coding theory and a coding theorem analogous to the ordinary coding theorem for a noiseless channel has been proved. The theorem states that the proposed entropy is the lower bound of mean code word length.

Suggested Citation

  • Joshi, Rajesh & Kumar, Satish, 2018. "A new weighted (α,β)-norm information measure with application in coding theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 538-551.
  • Handle: RePEc:eee:phsmap:v:510:y:2018:i:c:p:538-551
    DOI: 10.1016/j.physa.2018.07.015

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