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Exact inequalities for the upper bounds of seminorms on a class of periodic functions

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Abstract

We establish exact inequalities for the upper bounds of seminorms on classes of differentiable periodic functions, and as corollaries of them, exact inequalities between the best approximations by trigonometric polynomials of functions and their derivatives in the metrics of C and L.

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Literature cited

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Authors and Affiliations

  1. Dnepropetrov State University, USSR

    A. A. Ligun

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  1. A. A. Ligun
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Translated from Matematicheskie Zametki, Vol. 13, No. 5, pp. 647–654, May, 1973.

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Ligun, A.A. Exact inequalities for the upper bounds of seminorms on a class of periodic functions. Mathematical Notes of the Academy of Sciences of the USSR 13, 389–393 (1973). https://doi.org/10.1007/BF01147465

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  • DOI: https://doi.org/10.1007/BF01147465

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