Growth of Lebesgue constants for convex polyhedra and other regions

Authors:
J. Marshall Ash and Laura De Carli

Journal:
Trans. Amer. Math. Soc. **361** (2009), 4215-4232

MSC (2000):
Primary 42B15, 42A05; Secondary 42B08, 42A45

DOI:
https://doi.org/10.1090/S0002-9947-09-04627-3

Published electronically:
March 4, 2009

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Abstract: For any convex polyhedron in , , and , there are constants and such that

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Additional Information

**J. Marshall Ash**

Affiliation:
Department of Mathematics, DePaul University, Chicago, Illinois 60614

Email:
mash@math.depaul.edu

**Laura De Carli**

Affiliation:
Department of Mathematics, Florida International University, University Park, Miami, Florida 33199

Email:
decarlil@fiu.edu

DOI:
https://doi.org/10.1090/S0002-9947-09-04627-3

Keywords:
Lebesgue constant,
Dirichlet kernel,
kernels for convex sets,
kernels for polyhedra

Received by editor(s):
January 16, 2007

Received by editor(s) in revised form:
August 3, 2007

Published electronically:
March 4, 2009

Additional Notes:
The first author’s research was partially supported by a grant from the Faculty and Development Program of the College of Liberal Arts and Sciences, DePaul University

Article copyright:
© Copyright 2009
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.