PORTUGALIAE MATHEMATICA Vol. 53, No. 3, pp. 339353 (1996) 

Convergence of Approximation Processes on Convex ConesM.S.M. Roversi, A.O. Chiacchio and M.L.B. QueirozIMECCUNICAMP, Caixa Postal 6065,13081970 Campinas  BRASIL Abstract: The purpose of this paper is to establish convergence results for sequences of convex conic operators on $C(X;\calc{C})$ which are regular, i.e., sequences $\{T_{n}\}_{n\ge1}$ such that for some positive linear operator $S_{n}$ on $C(X;\R)$ we have $T_{n}(g\otimes K)= S_{n}(g)\otimes K$, for every continuous real valued function $g$ and every element $K$ of the convex cone $\calc{C}$. Keywords: Convex cone; regular operators; approximation. Classification (MSC2000): 41A36, 41A65 Full text of the article:
Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.
© 1996 Sociedade Portuguesa de Matemática
