Solutions of Some Minimization Problems of a Special Class of Functions
S. T. Obeidat *
Department of Mathematics, Preparatory Year, University of Hail, Kingdom of Saudi Arabia.
M. Motawi Khashan
Department of Mathematics, King Saud University, Riyadh, Kingdom of Saudi Arabia.
*Author to whom correspondence should be addressed.
Abstract
Solutions of three minimization problems of some classes of functions are obtained. The ndings of the present paper generalize several results related to quantile regression. The new results can be applied in dierent aspects such as weighted l1-norm minimization of curves in 
, where d is a positive integer, and approximation theory. Some applications of the new results are introduced.
Keywords: Global optimization, minimization, l1-norm.