An abstract Korovkin type theorem and applications

2 years ago

Abstract

We obtain some Korovkin type theorems for the space $C(X)$ , where $X$ is a compact metric space (Theorems 2 and 3).

The results are applied to the case when $X$ is a compact subspace of a prehilbertian space and we obtain bounds for the difference $\left \Vert B_{n}(f)-f\right \Vert|), where \(Bn$ is the Bernstein-Lototsky-Schnabl operator

Authors

Costica Mustata
“Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Romania

Keywords

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Paper coordinates

C. Mustăţa, D. Andrica, An abstract Korovkin type theorem and applications, Studia Univ. ”Babeş-Bolyai” XXXIV, fasc. 2 (1989), 44-41.

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About this paper

Journal

Studia

Publisher Name

Universitatis “Babes-Bolyai” Cluj-Napoca, Romania

DOI

Print ISSN

1843-3855

Online ISSN

2065-9490

MR # 91j: 41043

google scholar link

1989