Estimation of divergences on time scales via the Green function and Fink’s identity View Full Text


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Article Info

DATE

2021-08-24

AUTHORS

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

ABSTRACT

The aim of the present paper is to obtain new generalizations of an inequality for n-convex functions involving Csiszár divergence on time scales using the Green function along with Fink’s identity. Some new results in h-discrete calculus and quantum calculus are also presented. Moreover, inequalities for some divergence measures are also deduced. More... »

PAGES

394

References to SciGraph publications

  • 2019-08-29. Generalization of the Levinson inequality with applications to information theory in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2006. Convex Functions and Their Applications, A Contemporary Approach in NONE
  • 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
  • 2013-01-04. On the generalized Apostol-type Frobenius-Euler polynomials in ADVANCES IN DIFFERENCE EQUATIONS
  • 2018-11-19. Refinement of Jensen’s inequality and estimation of f- and Rényi divergence via Montgomery identity in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2021-05-28. Estimation of divergence measures via weighted Jensen inequality on time scales in JOURNAL OF INEQUALITIES AND APPLICATIONS
  • 2012-12-17. Some new fractional q-integral Grüss-type inequalities and other inequalities 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
  • 2014-03-26. Quantum integral inequalities on finite intervals in JOURNAL OF INEQUALITIES AND APPLICATIONS
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    http://scigraph.springernature.com/pub.10.1186/s13662-021-03550-2

    DOI

    http://dx.doi.org/10.1186/s13662-021-03550-2

    DIMENSIONS

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    162 grid-institutes:grid.440564.7 schema:alternateName Department of Mathematics and Statistics, The University of Lahore (Sargodha Campus), Sargodha, Pakistan
    163 schema:name Department of Mathematics and Statistics, The University of Lahore (Sargodha Campus), Sargodha, Pakistan
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    165 grid-institutes:grid.502995.2 schema:alternateName Department of Media and Communication, University North, Trg dr. žarka Dolinara 1, Koprivnica, Croatia
    166 schema:name Department of Media and Communication, University North, Trg dr. žarka Dolinara 1, Koprivnica, Croatia
    167 rdf:type schema:Organization
    168 grid-institutes:grid.77642.30 schema:alternateName RUDN University, Miklukho-Maklaya str. 6, 117198, Moscow, Russia
    169 schema:name RUDN University, Miklukho-Maklaya str. 6, 117198, Moscow, Russia
    170 rdf:type schema:Organization
     




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