M. V. Babushkin, V. V. Zhuk, “On a strong form of asymptotic formulas of Voronovskaya–Bernstein type with pointwise estimate of the remainder term”, Zap. Nauchn. Sem. POMI, 2016, Volume 449,Pages <nobr>32

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On a strong form of asymptotic formulas of Voronovskaya–Bernstein type with pointwise estimate of the remainder term

M. V. Babushkin, V. V. Zhuk

St. Petersburg State University, St. Petersburg, Russia

Abstract: A number of general results is established concerning strong form of asymptotic formulas of Voronovskaya–Bernstein type. Several examples of their application to concrete approximation methods are given.

Key words and phrases: asymptotic formulas of Voronovskaya–Bernstein type, strong approximation, local estimates for asymptotic formulas, modulus of continuity.

UDC: 517.5

Received: 05.09.2016