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Exact constant in the Jackson inequality in the space L2

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Abstract

We investigate the lowest (exact) constants in Jackson-type inequalities with the second-order modulus of continuity for the case of approximation of differentiable periodic functions by trigonometric polynomials in the space L2.

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References

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 9, pp. 1261–1265, September, 1994.

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Doronin, V.G., Ligun, A.A. Exact constant in the Jackson inequality in the space L2 . Ukr Math J 46, 1387–1392 (1994). https://doi.org/10.1007/BF01059429

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  • DOI: https://doi.org/10.1007/BF01059429

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