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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1997 Volume 247, Pages 26–45 (Mi znsl561)

This article is cited in 4 papers

The sharp constant in the estimate of the Rogozinski sums deviation in terms of the second modulus of continuity in the space of continuous periodic functions

O. L. Vinogradov

St. Petersburg State University, Department of Mathematics and Mechanics

Abstract: The sharp constant (uniformly in $n$) is found in a Jackson-type inequality involving the Rogozinski sums of order $n$ and the second modulus of continuity with the step $\pi/(n+1)$.

UDC: 517.5

Received: 28.11.1996


 English version:
Journal of Mathematical Sciences (New York), 2000, 101:3, 3060–3072

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