Abstract
We present a survey of investigations of Dnepropetrovsk mathematicians related to Kolmogorov-type exact inequalities for norms of intermediate derivatives of periodic functions and their applications in approximation theory.
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V. F. Babenko and S. A. Selivanova, “On the connection between certain inequalities of the Kolmogorov type for periodic and non-periodic functions,” Ukr. Mat. Zh.. 51, No. 2, 147–157 (1999).
V. F. Babenko, V. A. Kofanov, and S. A. Pichugov, “On inequalities of Landau-Hadamard-Kolmogorov type for the L 2-norm of anintermediate derivative,” E. J. Approxim., 2, No. 3, 343–368 (1996).
V. F. Babenko, V. A. Kofanov, and S. A. Pichugov, “On exact inequalities of the Landau-Hadamard-Kolmogorov type for functionsof many variables,” Dokl. Ros. Akad. Nauk, 356, No. 1, 7–9 (1997).
V. F. Babenko, V. A. Kofanov, and S. A. Pichugov, “Exact inequalities of Kolmogorov type for multivariate functions and their applications,” E. J. Approxim., 3, No. 2, 155–186 (1997).
V. F. Babenko, “Exact inequalities of the Kolmogorov type and some of their applications,” in: Abstracts of the International Conferenceon Approximation Theory and its Applications Dedicated to the Memory of V. K. Dzyadyk. Kiev (1999), pp. 9–10.
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Babenko, V.F. Investigations of dnepropetrovsk mathematicians related to inequalities for derivatives of periodic functions and their applications. Ukr Math J 52, 8–28 (2000). https://doi.org/10.1007/BF02514133
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DOI: https://doi.org/10.1007/BF02514133