Electron. J. Diff. Equ., Vol. 2009(2009), No. 135, pp. 1-11.

Some inequalities for Sobolev integrals

Nikolaj Dimitrov, Stepan Tersian

Abstract:
We present some inequalities for Sobolev integrals for functions of one variable which are generalization of Dirichlet principle for harmonic functions.

Submitted February 8, 2009. Published October 21, 2009.
Math Subject Classifications: 26D10, 34A40.
Key Words: Sobolev integrals; Dirichlet principle; divided differences; Hermite polynomials.

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Nikolaj Dimitrov
Department of Mathematical Analysis, University of Rousse
8, Studentska, 7017 Rousse, Bulgaria
email: acm189@abv.bg
Stepan Tersian
Department of Mathematical Analysis, University of Rousse
8, Studentska, 7017 Rousse, Bulgaria
email: sterzian@ru.acad.bg

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