Bounds of some divergence measures using Green’s function and Fink’s identity via Diamond Integrals

Author:

Bilal Muhammad1,Ali Khan Khuram2,Nosheen Ammara2,Pečarić Josip3

Affiliation:

1. Government Associate College Miani , Sargodha , Pakistan

2. Department of Mathematics , 66971 University of Sargodha , Sargodha , Pakistan

3. 105437 Croatian Academy of Science and Arts HR , Zagreb , Croatia

Abstract

Abstract In the present paper, some inequalities regarding Csiszár divergence are generalized for diamond integrals by utilizing Green function and Fink’s identity. By selecting various kinds of convex functions, bound of different entropies and divergence measures are obtained. Furthermore, in seek of applications, bounds of different divergence measures are estimated on diverse fixed time scales. These divergence measures are fundamental in problems pertaining to source and channel coding, large deviations theory, and other sorts of problems.

Publisher

Walter de Gruyter GmbH

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