Earth Systems and Environment.
Springer.
2020.
Majorization inequalities via Green functions and Fink’s identity with applications to Shannon entropy
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. © 2020, The Author(s).
Authors
Siddique N.1
,
Imran M.1
,
Khan K.A.2
,
Pečarić J.
3
Publisher
Springer International Publishing
Number of issue
1
Language
English
Status
Published
Link
Number
192
Volume
2020
Year
2020
Organizations
- 1 Department of Mathematics, Government College University, Faisalabad, 38000, Pakistan
- 2 Department of Mathematics, University of Sargodha, Sargodha, 40100, Pakistan
- 3 Rudn University, Moscow, Russian Federation
Keywords
Csiszár f-divergence; Fink’s identity; Kullback–Leibler divergence; Majorization inequailty; n-convex functions; New Green functions; Shannon entropy; Čebyšev functional
Date of creation
02.11.2020
Date of change
02.11.2020
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Клиническая дерматология и венерология.
Общество с ограниченной ответственностью Издательство Медиа Сфера.
Vol. 19.
2020.
P. 399-406