Estimation of divergence measures via weighted Jensen inequality on time scales View Full Text


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Article Info

DATE

2021-05-28

AUTHORS

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

ABSTRACT

The main purpose of the presented paper is to obtain some time scale inequalities for different divergences and distances by using weighted time scales Jensen’s inequality. These results offer new inequalities in h-discrete calculus and quantum calculus and extend some known results in the literature. The lower bounds of some divergence measures are also presented. Moreover, the obtained discrete results are given in the light of the Zipf–Mandelbrot law and the Zipf law. More... »

PAGES

93

References to SciGraph publications

  • 2010-04-06. On Some Integral Inequalities on Time Scales and Their Applications in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2013-01-04. On the generalized Apostol-type Frobenius-Euler polynomials in ADVANCES IN DIFFERENCE EQUATIONS
  • 2014-01-02. Some identities of q-Euler polynomials arising from q-umbral calculus in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2009-08-27. On Some Improvements of the Jensen Inequality with Some Applications in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2020-12-10. Some inequalities for Csiszár divergence via theory of time scales in ADVANCES IN DIFFERENCE EQUATIONS
  • 2003. Advances in Dynamic Equations on Time Scales in NONE
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  • 2020-03-20. Shannon type inequalities via time scales theory in ADVANCES IN DIFFERENCE EQUATIONS
  • 2008-01. Some integral inequalities on time scales in APPLIED MATHEMATICS AND MECHANICS
  • 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
  • 2019-01-05. Path-following and semismooth Newton methods for the variational inequality arising from two membranes problem in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2020-06-05. A New Refinement of the Jensen Inequality with Applications in Information Theory in BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
  • 2000. Shannon’s and Related Inequalities in Information Theory in SURVEY ON CLASSICAL INEQUALITIES
  • 2020-04-21. Refinements of the integral form of Jensen’s and the Lah–Ribarič inequalities and applications for Csiszár divergence in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2018-01-03. New half-discrete Hilbert inequalities for three variables in JOURNAL OF INEQUALITIES AND APPLICATIONS
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    http://scigraph.springernature.com/pub.10.1186/s13660-021-02630-x

    DOI

    http://dx.doi.org/10.1186/s13660-021-02630-x

    DIMENSIONS

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