Sharp constants in one-dimensional Poincaré-type inequalities

DOI10.1134/S0001434611090306zbMath1287.46031MaRDI QIDQ2435809

G. A. Kalyabin

Publication date: 20 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Sobolev spaceEuler equationPoincaré-type inequalityLegendre polynomialisoperimetric problemLagrange function

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)

Related Items (1)

Sharp constants for inequalities of Poincaré type: an application of optimal control theory

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