Best Constants for Poincaré–Type Inequalities in W 1 n ( 0 , 1 ) $$W^{n}_1(0,1)$$

DOI10.1007/978-3-030-27407-8_11zbMath1456.46031OpenAlexW2986320659MaRDI QIDQ5114168

Gradimir V. Milovanović, Allal 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_11

zbMATH Keywords

higher-order Poincaré-type inequalities

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

• Explicit constants in Poincaré-type inequalities for simplicial domains and application to a posteriori estimates
• A practical guide to splines
• A Simple Proof of the Hobby-Rice Theorem
• A note on polynomial approximation in Sobolev spaces
• SHARP CONSTANTS IN THE POINCARÉ, STEKLOV AND RELATED INEQUALITIES (A SURVEY)
• A Moment Problem in L 1 Approximation
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