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Zbl 1199.41137
Radu, Cristina
$\Cal A$-summability and approximation of continuous periodic functions. (English)
[J] Stud. Univ. Babeş-Bolyai, Math. 52, No. 4, 155-162 (2007). ISSN 0252-1938; ISSN 2065-961X/e

The paper is concerned with sequences of positive linear operators defined on the space of real-valued continuous $2\pi$-periodic functions. The author gives a generalization of the classical Korovkin theorem (with 1, $\cos x$ and $\sin x$ as test functions) by using a matrix summability method.
[Ioan Rasa (Cluj-Napoca)]

MSC 2000:: *41A36 Approximation by positive operators
47B38 Operators on function spaces

Keywords: matrix summability; Korovkin type theorem

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