Explicit Form Of Extremal Functions In The Embedding Constant Problem For Sobolev SpacesI

Igor Sheipak, Tatiana Garmanova

The embedding constants of the Sobolev spaces ${\mathring{W}}_2^n[0;1]\hookrightarrow {\mathring{W}}_{\infty }^k[0;1]$ ($0⩽k⩽n-1$) are studied. A relation of the embe…