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On inequalities for seminorms of certain classes of differentiable periodic functions

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Abstract

We obtained the inequalities for upper bounds of seminorms of classes of 2π-periodic functions, which are determined by a linear differential operator and by the majorant of the modulus of continuity.

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References

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Additional information

Dnepropetrovsk University, Dnepropetrovsk. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 10, pp. 1432–1435, October, 1997

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Polyakov, O.V. On inequalities for seminorms of certain classes of differentiable periodic functions. Ukr Math J 49, 1610–1614 (1997). https://doi.org/10.1007/BF02487446

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  • DOI: https://doi.org/10.1007/BF02487446

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