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ArticleOriginal scientific text

Title

Approximation of continuous convex-cone-valued functions by monotone operators

Authors 1

Affiliations

  1. Departamento de Matemática, IMECC - UNICAMP, Caixa Postal 6065, 13081 Campinas, Sp, Brazil

Abstract

In this paper we study the approximation of continuous functions F, defined on a compact Hausdorff space S, whose values F(t), for each t in S, are convex subsets of a normed space E. Both quantitative estimates (in the Hausdorff semimetric) and Bohman-Korovkin type approximation theorems for sequences of monotone operators are obtained.

Bibliography

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  3. M. W. Grossman, Note on a generalized Bohman-Korovkin theorem, J. Math. Anal. Appl. 45 (1974), 43-46.
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  6. R. A. Vitale, Approximation of convex set-valued functions, J. Approx. Theory 26 (1979), 301-316.
Studia Mathematica
1992/102/2
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Pages:
175-192
Main language of publication
English
Received
1991-10-04
Published
1992
Exact and natural sciences