Some Notes on a Minimization Problem

Abstract:

      Let X?[a,b] be a compact set containing at least n+1 points and Kan n-dimensional Haar subspace in c[a,b]. Let F(x,y) be a nonnegativefunction, defined on X×(-∞,∞), satisfying ‖F(·,p)‖<∞ with the L_∞norm forsom s∈K, where F(x,p)≡F(x,p(x)).