Erratum to: Sharp Constant in Jackson’s Inequality with Modulus of Smoothness for Uniform Approximations of Periodic Functions


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Abstract

My paper contains an error. Namely, inequality (9) does not hold. For example, for k = 2,

I do not know whether the error in the argument can be corrected and whether the main result of the paper is valid.

I wish to express gratitude to O. L. Vinogradov for pointing out the error.

About the authors

S. A. Pichugov

Dnepropetrovsk National University of Railway Transport

Author for correspondence.
Email: pichugov@i.ua
Ukraine, Dnepr, 49010

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