Faithin Omaha eBook Collection

Download or read book Convergence of Positive Operators written by Ralph Leland James and published by . This book was released on 1970 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.