A Class of Positive Linear Operators
Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 51-59
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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].
King, J. P. A Class of Positive Linear Operators. Canadian mathematical bulletin, Tome 11 (1968) no. 1, pp. 51-59. doi: 10.4153/CMB-1968-007-5
@article{10_4153_CMB_1968_007_5,
author = {King, J. P.},
title = {A {Class} of {Positive} {Linear} {Operators}},
journal = {Canadian mathematical bulletin},
pages = {51--59},
year = {1968},
volume = {11},
number = {1},
doi = {10.4153/CMB-1968-007-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1968-007-5/}
}
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