Convergence of positive operators Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/2z10wv38p

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  • The extension and convergence of positive operators is investigated by means of a monotone approximation technique. Some generalizations and extensions of Korovkin's monotone operator theorem on C[0, 1] are given. The concept of a regular set is introduced and it is shown that pointwise convergence is uniform on regular sets. Regular sets are investigated in various spaces and some characterizations are obtained. These concepts are applied to the approximate solution of a large class of integral equations.
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