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 step π/(n+1). Bibliography: 6 titles.
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References
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O. L. Vinogradov, “Some sharp inequalities for the second continuity modulus of periodic functions and of functions extended from a segment,”Zap. Nauchn. Semin. POMI,232, 33–49 (1996).
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Additional information
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 247, 1997, pp. 26–45.
Translated by S. Yu. Pilyugin.
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Vinogradov, O.L. Sharp inequality for deviation of Rogozinski sums and the second continuity modulus in the space of periodic continuous functions. J Math Sci 101, 3060–3072 (2000). https://doi.org/10.1007/BF02673731
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DOI: https://doi.org/10.1007/BF02673731