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\(\mathcal A\)-summability and approximation of continuous periodic functions. (English) Zbl 1199.41137

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.

MSC:

41A36 Approximation by positive operators
47B38 Linear operators on function spaces (general)
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