Modeling UpLink power control with outage probabilities
Kenneth L. Clarkson, K. Georg Hampel, et al.
VTC Spring 2007
This paper is concerned with Bernstein polynomials on k-simploids by which we mean a cross product of k lower dimensional simplices. Specifically, we show that if the Bernstein polynomials of a given function f on a k-simploid form a decreasing sequence then f +l, where l is any corresponding tensor product of affine functions, achieves its maximum on the boundary of the k-simploid. This extends recent results in [1] for bivariate Bernstein polynomials on triangles. Unlike the approach used in [1] our approach is based on semigroup techniques and the maximum principle for second order elliptic operators. Furthermore, we derive analogous results for cube spline surfaces. © 1990 Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Kenneth L. Clarkson, K. Georg Hampel, et al.
VTC Spring 2007
Moutaz Fakhry, Yuri Granik, et al.
SPIE Photomask Technology + EUV Lithography 2011
David L. Shealy, John A. Hoffnagle
SPIE Optical Engineering + Applications 2007
Ziv Bar-Yossef, T.S. Jayram, et al.
Journal of Computer and System Sciences