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On conditions for and the order of approximation of functions by operators of class \(S_{2m}\). (English. Russian original) Zbl 1005.41007
Math. Notes 67, No. 5, 556-562 (2000); translation from Mat. Zametki 67, No. 5, 654-661 (2000).
Conditions for the convergence of operators of classes \(S_{2m}\) to continuous functions are studied. Next, the asymptotics of approximation by such operators to differentiable functions are established. The paper generalize, by different methods, results due to I. Szabados for operators of the class \(S_{2m}\).
MSC:
41A36 Approximation by positive operators
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