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Growth of Lp Lebesgue constants for convex polyhedra and
 

Summary: Growth of Lp
Lebesgue constants for convex polyhedra and
other regions
J. Marshall Ash and Laura De Carli
Abstract. For any convex polyhedron W in Rm, p 2 (1; 1), and N 1,
there are constants 1 (W; p; m) and 2 (W; p; m) such that
1Nm(p 1)
Z
Tm
X
k2NW
e (k x)
p
dx 2Nm(p 1)
:
Similar results hold for more general regions. These results are various special
cases of the inequalities
1Nm(p 1)
Z
Tm

  

Source: Ash, J. Marshall - Department of Mathematical Sciences, DePaul University

 

Collections: Mathematics