This article is cited in 16 papers

Best approximations of differentiable functions in the metric of the space $L_2$

L. V. Taikov

Moscow Institute of Forestry Engineering

Abstract: The relation between the best approximations of periodic functions by trigonometric polynomials and the moduli of continuity of their arbitrary derivatives in the metric of the space $L_2$ is studied.

UDC: 517.6

Received: 17.10.1975

 English version: Mathematical Notes, 1977, 22:4, 789–794

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