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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2012 Volume 404, Pages 157–174 (Mi znsl5265)

This article is cited in 2 papers

Estimates of best approximations of periodic function by linear combinations values of the function itself and its primitives

V. V. Zhuk

Saint-Petersburg State University, Saint-Petersburg, Russia

Abstract: The general theorems which allow to obtain some estimates of best approximations of periodic function by deviations of aggregates composed of approximated function and its primitives are established. Several examples of applications are given.

Key words and phrases: periodic function, best approximation, Steklov functions.

UDC: 517.2

Received: 31.10.2012


 English version:
Journal of Mathematical Sciences (New York), 2013, 193:1, 89–99

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