On Shannon and Zipf-Mandelbrot entropies and related results

DOI10.1186/s13660-019-2037-3zbMath1499.94026OpenAlexW2935948266WikidataQ128117264 ScholiaQ128117264MaRDI QIDQ2067823

Sadia Khalid, Đilda Pečarić, Josip E. Pečarić

Publication date: 19 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-019-2037-3

zbMATH Keywords

Shannon entropyCauchy meansZipf-Mandelbrot entropywright-convex functionnon-increasing sequence in weighted mean

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Measures of information, entropy (94A17) Other analytical inequalities (26D20)

Related Items (1)

Generalizations of Shannon type inequalities via diamond integrals on time scales

Cites Work

• Lower bounds for matrices
• Convex functions, partial orderings, and statistical applications
• On Zipf-Mandelbrot entropy
• Majorization, Csiszár divergence and Zipf-Mandelbrot law
• 3-convex functions and generalizations of an inequality of Hardy-Littlewood-Pólya
• Bounds for Shannon and Zipf-Mandelbrot entropies
• Refinements of the majorization theorems via Fink identity and related results
• Some properties of Zipf-Mandelbrot law and Hurwitz ζ-function
• Beyond the Zipf-Mandelbrot law in quantitative linguistics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On Shannon and Zipf-Mandelbrot entropies and related results