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Generalized Fejér-Divergence in Information Theory

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Abstract

Discrimination between two probabilities is determined by divergences in information theory. In this paper, by using Fejér inequality, we introduce some extensions of Fejér-divergences and link these concepts with some well-known information divergences such as HH f-divergences, Riemann–Liouville fractional HH f-divergences, Hadamard fractional HH f-divergences and Conformable fractional HH f-divergences.

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Funding

This work was supported by the National Natural Science Foundation of China under grant 62172116.

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Authors and Affiliations

  1. Institute of Computing Science and Technology, Guangzhou university, Guangzhou, 510006, China

    Zehui Shao & Saeed Kosari

  2. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

    Milad Yadollahzadeh

Authors
  1. Zehui Shao
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  2. Saeed Kosari
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  3. Milad Yadollahzadeh
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All authors contributed equally to the manuscript and typed, read, and approved the final manuscript.

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Correspondence to Saeed Kosari.

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Shao, Z., Kosari, S. & Yadollahzadeh, M. Generalized Fejér-Divergence in Information Theory. Iran J Sci Technol Trans Sci 46, 1241–1247 (2022). https://doi.org/10.1007/s40995-022-01331-4

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  • DOI: https://doi.org/10.1007/s40995-022-01331-4

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