Shannon type inequalities via time scales theory View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2020-03-20

AUTHORS

Iqrar Ansari, Khuram Ali Khan, Ammara Nosheen, Ðilda Pečarić, Josip Pečarić

ABSTRACT

The aim of present paper is to obtain Shannon type inequalities using the extended version of Jensen’s inequality in time scales settings. The concept of differential entropy of a continuous random variable on time scales is introduced, and its bounds for some particular distributions are also estimated.

PAGES

135

References to SciGraph publications

  • 1993. Classical and New Inequalities in Analysis in NONE
  • 2017-07-28. Estimations of f- and Rényi Divergences by Using a Cyclic Refinement of the Jensen’s Inequality in BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
  • 2001. Dynamic Equations on Time Scales, An Introduction with Applications in NONE
  • 2019-08-26. RETRACTED ARTICLE: Generalization of the Levinson inequality with applications to information theory in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2019-04-11. On Shannon and Zipf–Mandelbrot entropies and related results in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2017-08-24. Majorization, Csiszár divergence and Zipf-Mandelbrot law in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2000. Shannon’s and Related Inequalities in Information Theory in SURVEY ON CLASSICAL INEQUALITIES
  • 2006-09-10. Multiple Lebesgue integration on time scales in ADVANCES IN DIFFERENCE EQUATIONS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1186/s13662-020-02587-z

    DOI

    http://dx.doi.org/10.1186/s13662-020-02587-z

    DIMENSIONS

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