Estimation of different entropies via Lidstone polynomial using Jensen-type functionals View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2020-02-18

AUTHORS

Khuram Ali Khan, Tasadduq Niaz, Đilda Pečarić, Josip Pečarić

ABSTRACT

In this work, some new functional of Jensen-type inequalities are constructed using Shannon entropy, f-divergence, and Rényi divergence, and some estimates are obtained for these new functionals. Also using the Zipf–Mandelbrot law and hybrid Zipf–Mandelbrot law, we investigate some bounds for these new functionals. Furthermore, we generalize these new functionals for m-convex function using Lidstone polynomial. More... »

PAGES

613-631

References to SciGraph publications

  • 2000. Shannon’s and Related Inequalities in Information Theory in SURVEY ON CLASSICAL INEQUALITIES
  • 2018-02-08. Zipf–Mandelbrot law, f-divergences and the Jensen-type interpolating inequalities in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 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
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s40065-020-00277-y

    DOI

    http://dx.doi.org/10.1007/s40065-020-00277-y

    DIMENSIONS

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