Brief Communications

Sharp Constants in One-Dimensional Poincaré-Type Inequalities

G. A. Kalyabin

Peoples Friendship University of Russia, Moscow

Keywords: Poincaré-type inequality, Sobolev space, Legendre polynomial, Euler equation, isoperimetric problem, Lagrange function.

Received: 02.03.2011

DOI: 10.4213/mzm9063

 English version: Mathematical Notes, 2011, 90:4, 615–618

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