Majorization inequalities via Green functions and Fink’s identity with applications to Shannon entropy View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2020-07-22

AUTHORS

Nouman Siddique, Muhammad Imran, Khuram Ali Khan, Josip Pečarić

ABSTRACT

This paper is devoted to obtain generalized results related to majorization-type inequalities by using well-known Fink’s identity and new types of Green functions, introduced by Mehmood et al. (J. Inequal. Appl. 2017:108, 2017). We give a generalized majorization theorem for the class of n-convex functions. We utilize the Csiszár f-divergence and generalized majorization-type inequalities in providing the corresponding generalizations. As an application, we present the obtained results in terms of Shannon entropy and Kullback–Leibler distance. More... »

PAGES

192

Identifiers

URI

http://scigraph.springernature.com/pub.10.1186/s13660-020-02455-0

DOI

http://dx.doi.org/10.1186/s13660-020-02455-0

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1129564702


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