Best Constants for Weighted Poincaré–Type Inequalities

DOI10.1007/978-3-030-27407-8_12zbMath1456.46030OpenAlexW2984086803MaRDI QIDQ5114170

Alla Guessab

Publication date: 21 June 2020

Published in: Differential and Integral Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-27407-8_12

zbMATH Keywords

Poincaré-type inequalitiesweighted inequalitysharp Poincaré-type inequality

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• An optimal Poincaré inequality in $L^1$ for convex domains
• A note on polynomial approximation in Sobolev spaces
• A note on sharp 1-dimensional Poincaré inequalities

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