Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 135, pp. 1-11.

Title: Some inequalities for Sobolev integrals

Authors: Nikolaj Dimitrov (Univ. of Rousse, Bulgaria)
         Stepan Tersian   (Univ. of Rousse, Bulgaria)

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.