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A Class of Positive Linear Operators

Published online by Cambridge University Press:  20 November 2018

J. P. King
J. P. King*
Affiliation:
Lehigh University
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Let F[a, b] be the linear space of all real valued functions defined on [a, b]. A linear operator L: C[a, b] → F[a, b] is called positive (and hence monotone) on C[a, b] if L(f)≥0 whenever f≥0. There has been a considerable amount of research concerned with the convergence of sequences of the form {Ln(f)} to f where {Ln} is a sequence of positive linear operators on C[a, b].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 11 , Issue 1 , April 1968 , pp. 51 - 59
Copyright
Copyright © Canadian Mathematical Society 1968

References

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