Some properties of Zipf-Mandelbrot law and Hurwitz ζ-function

DOI10.7153/mia-2018-21-42zbMath1384.26052OpenAlexW2790850699MaRDI QIDQ4634671

Julije Jakšetić, Đilda Pečarić, Josip E. Pečarić

Publication date: 11 April 2018

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-2018-21-42

zbMATH Keywords

log-convexityLyapunov inequalityChebyshev inequalityZipf-Mandelbrot lawHurwitz \(\zeta\)-function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Other analytical inequalities (26D20)

Related Items (11)

Refined estimates and generalization of some recent results with applications ⋮ Generalizations of Shannon type inequalities via diamond integrals on time scales ⋮ Generalizations of cyclic refinements of Jensen's inequality by Lidstone's polynomial with applications in information theory ⋮ New bounds of cyclic Jensen's differences via weighted Hadamard inequalities with applications ⋮ Uniform treatment of Jensen's inequality by Montgomery identity ⋮ New bounds for Shannon, relative and Mandelbrot entropies via Abel-Gontscharoff interpolating polynomial ⋮ On a Jensen-type inequality for generalized f-divergences and Zipf-Mandelbrot law ⋮ Shannon type inequalities via time scales theory ⋮ On Shannon and Zipf-Mandelbrot entropies and related results ⋮ Several new cyclic Jensen type inequalities and their applications ⋮ Generalized cyclic Jensen and information inequalities

Cites Work

• Convex functions, partial orderings, and statistical applications
• Convexité, complète monotonie et inégalités sur les fonctions zèta et gamma, sur les fonctions des opérateurs de Baskakov et sur des fonctions arithmétiques
• Unnamed Item

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