Superquadratic functions in information theory

DOI10.7153/jmi-2020-14-85zbMath1461.94064OpenAlexW3114032972MaRDI QIDQ5858281

Đilda Pečarić, Josip E. Pečarić, Josipa Barić

Publication date: 12 April 2021

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2020-14-85

zbMATH Keywords

Jensen inequalityShannon entropysuperquadratic functionZipf-Mandelbrot's law

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Convexity of real functions in one variable, generalizations (26A51) Information theory (general) (94A15)

Cites Work

• Fejer and Hermite-Hadamard type inequalities for superquadratic functions
• SUPERQUADRATIC FUNCTIONS AND REFINEMENTS OF SOME CLASSICAL INEQUALITIES
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