Geodesic
Estimation of f-divergence and Shannon entropy by Bullen type inequalities via Fink's identity
Filomat, Tome 36 (2022) no. 2, p. 527

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DOI

By using Fink's identity some new generalizations of Levinson type inequalities for n-convex functions are obtained. In seek of applications of our results to information theory, new generalizations based on f-divergence estimates are also proven. Moreover, some inequalities for Shannon entropies are deduced as well
DOI : 10.2298/FIL2202527A
Classification : 26D15, 94A17, 94A20
Keywords: Information theory, Levinson’s Inequality, Fink’s identity 
Muhammad Adeel; Khuram Ali Khan; Ðilda Pečarić; Josip Pečarić. Estimation of f-divergence and Shannon entropy by Bullen type inequalities via Fink's identity. Filomat, Tome 36 (2022) no. 2, p. 527 . doi: 10.2298/FIL2202527A
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     title = {Estimation of f-divergence and {Shannon} entropy by {Bullen} type inequalities via {Fink's} identity},
     journal = {Filomat},
     pages = {527 },
     year = {2022},
     volume = {36},
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     doi = {10.2298/FIL2202527A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2202527A/}
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