Korovkin-type Theorems and Approximation by Positive Linear Operators

Details Korovkin-type Theorems and Approximation by Positive Linear Operators Korovkin-type Theorems and Approximation by Positive Linear Operators

2010-09-14

arxiv.org/abs/1009.2601v1

Surveys in Approximation Theory, 5 (2010), 92-164

Mathematics

Classical Analysis and ODEs

Scientific paper

This survey paper contains a detailed self-contained introduction to Korovkin-type theorems and to some of their applications concerning the approximation of continuous functions as well as of L^p-functions, by means of positive linear operators. The paper also contains several new results and applications. Moreover, the organization of the subject follows a simple and direct approach which quickly leads both to the main results of the theory and to some new ones.

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