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Unbounded Functions And Positive Linear-Operators, J. J. Swetits, B. Wood
Unbounded Functions And Positive Linear-Operators, J. J. Swetits, B. Wood
Mathematics & Statistics Faculty Publications
The approximation of unbounded functions by positive linear operators under multiplier enlargement is investigated. It is shown that a very wide class of positive linear operators can be used to approximate functions with arbitrary growth on the real line. Estimates are given in terms of the usual quantities which appear in the Shisha-Mond theorem. Examples are provided.