Best Constants for Weighted Poincaré–Type Inequalities

Alla Guessab ()
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Alla Guessab: Université de Pau et des Pays de l’Adour

A chapter in Differential and Integral Inequalities, 2019, pp 403-421 from Springer

Abstract: Abstract In this paper we will determine the best constant for a class of (weighted and non-weighted) new Poincaré-type inequalities. In particular, we obtain sharp inequalities under the concavity, convexity of the weight function. We also establish a family of sharp Poincaré inequalities involving the second derivative.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-27407-8_12

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DOI: 10.1007/978-3-030-27407-8_12

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