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Improvement of an inequality of Hardy containing an estimate of the size of an intermediate derivative of a function

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Literature cited

  1. G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities Inequalities, Cambridge Univ. Press (1934).

  2. S. B. Stechkin, “Inequalities between norms of derivatives of an arbitrary function,” Acta Scient. Math.,26, 230–285 (1965).

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  3. S. B. Stechkin, “Best approximation of linear operators,” Mat. Zametki,1, No. 2, 137–148 (1967).

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  4. E. Titchmarsh, Introduction to the Theory of Fourier Integrals [Russian translation], IL, Moscow-Leningrad (1948).

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  5. Yu. N. Subbotin and L. V. Taikov, “Best approximation of the differentiation operator in the space L2,” Mat. Zametki,3, No. 2, 157–164 (1968).

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Authors and Affiliations

  1. Tversk State University, USSR

    L. V. Taikov

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  1. L. V. Taikov
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Translated from Matematicheskie Zametki, Vol. 50, No. 4, pp. 114–122, October, 1991.

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Taikov, L.V. Improvement of an inequality of Hardy containing an estimate of the size of an intermediate derivative of a function. Mathematical Notes of the Academy of Sciences of the USSR 50, 1062–1067 (1991). https://doi.org/10.1007/BF01137740

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  • DOI: https://doi.org/10.1007/BF01137740

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