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On conditions for and the order of approximation of functions by operators of classS 2m
Authors:V. A. Baskakov
Affiliation:(1) Moscow Automobile and Road Construction Institute, USSR
Abstract:Following P. P. Korovkin, we study conditions for the convergence of operators of classesS 2m to continuous functions and the asymptotics of approximation by such operators to differentiable functions. Translated fromMatematicheskie Zametki, Vol. 67, No. 5, pp. 654–661, May, 2000.
Keywords:operators of classS 2m   conditions for convergence  approximation asymptotics  Korovkin’  s theorem  Banach-Steinhaus theorem  Szabados’   theorem
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