The Maximal Extension of the Strict Concavity Region on the Parameter Space for Sharma-Mittal Entropy Measures

R. P. Mondaini () and S. C. de Albuquerque Neto
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R. P. Mondaini: Centre of Technology, COPPE, Federal University of Rio de Janeiro
S. C. de Albuquerque Neto: Centre of Technology, COPPE, Federal University of Rio de Janeiro

A chapter in Trends in Biomathematics: Stability and Oscillations in Environmental, Social, and Biological Models, 2022, pp 265-286 from Springer

Abstract: Abstract A region r ≥ s > 0 of the ( r , s ) ∈ ℝ + + $$(r,s) \in \mathbb {R}_{++}$$ parameter space is usually specified as the strict concavity region for Sharma-Mittal class of entropy measures. The hypograph of this region is the half straight line r = s corresponding to Havrda-Charvat measure. In the present work, the problem of extending this region is solved through the derivation of the least upper bound of a sequence of hypographs.

Date: 2022
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DOI: 10.1007/978-3-031-12515-7_15

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