Can Sobolev inequality be written for Sharma-Mittal entropy?

DOI10.1007/s10773-008-9766-2zbMath1160.82303OpenAlexW1980870351MaRDI QIDQ1008288

Ethem Aktürk, O. Üzengi Aktürk, Mehmet Tomak

Publication date: 24 March 2009

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-008-9766-2

zbMATH Keywords

Sobolev inequalityRenyi entropyTsallis entropyShannon entropySharma-Mittal entropy

Mathematics Subject Classification ID

Foundations of equilibrium statistical mechanics (82B03) Measures of information, entropy (94A17)

Related Items (3)

Sharma-Mittal Entropy Properties on Record Values ⋮ Notes on entropic uncertainty relations beyond the scope of Riesz's theorem ⋮ Generalized twin Gaussian processes using Sharma-Mittal divergence

Cites Work

• On the inference of entangled states: a maximum-entropy-minimum-norm approach
• Exact time-dependent solutions of the Rényi Fokker-Planck equation and the Fokker-Planck equations related to the entropies proposed by Sharma and Mittal
• Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics
• Possible generalization of Boltzmann-Gibbs statistics.
• The Langevin and Fokker-Planck equations in the framework of a generalized statistical mechanics
• A statistical mechanical approach to generalized statistics of quantum and classical gases
• The Sobolev inequality and the Tsallis entropic uncertainty relation
• A step beyond Tsallis and Rényi entropies
• Extensive Rényi statistics from non-extensive entropy
• ON THE PROBLEM OF CONSTRAINTS IN NONEXTENSIVE FORMALISM: A QUANTUM MECHANICAL TREATMENT
• Entropic uncertainty relation for power-law wave packets

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