Comments on a paper by N.V. Thoai published in the 'Journal of Mathematical Analysis and Applications,' about a global optimality criterion. Consideration of a problem where g and h are two finite convex functions on R[sup p] and X is a closed convex subset of R[sup p]; Argument that the correct optimality criterion is an application of another optimality criterion.
Darus, Maslina, Janteng, Aini, and Halim, Suzeini Abdul
Subjects
STAR-like functions, INTEGRAL operators, MATHEMATICAL functions, CONVEX functions, MATHEMATICS
Abstract
In this paper, we consider a class of uniformly starlike functions defined by certain integral operator. We determine a sufficient condition for a function f to be uniformly starlike function that is also necessary when f has negative coefficients. Similar results for corresponding subclasses of uniformly convex functions are also obtained. [ABSTRACT FROM AUTHOR]