Kufner’s conjecture for higher order Hardy inequalities

Gordon Sinnamon

doi:rae/1339694087

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Home > Journals > Real Anal. Exchange > Volume 21 > Issue 2 > Article

1995/1996 Kufner’s conjecture for higher order Hardy inequalities

Gordon Sinnamon

Author Affiliations +

Gordon Sinnamon¹
¹Department of Mathematics, University of Western Ontario

Real Anal. Exchange 21(2): 590-603 (1995/1996).

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Abstract

A conjecture of A. Kufner is verified, giving an approximate functional form of the Green’s function for a class of two-point boundary value problems. The result is applied to give a simple characterization of those weights for which the Hardy inequality for higher order derivatives is valid.