Abstract
Let (K, μ) be a measurable space with μ(K)=1. Let Ip,q: Lp (K, μ)→Lq (K, μ) be the embedding operator. The Bernstein widths of Ip, q are considered. Bibliography: 5 titles.
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References
A. Pinkus, “N-Widths in Approximation Theory, Springer-Verlag, Berlin (1985).
O. G. Parfenov, “Bernstein widths of some classes of analytic functions,”Mat. Zametki,56, 123–131 (1994).
E. M. Galeev, “Bernstein widths of infinite-dimensional ellipsoids,” In:Complex Analysis. Differential and Integral, Equations, Kalmyk State Univ., Elista (1990) pp. 14–20.
W. Rudin,Functional Analysis [Russian translation], Moscow (1975).
B. S. Kashin and A. A. Saakyan,Orthogonal Series [Russian translation], Moscow (1984).
Additional information
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 247, 1997, pp. 166–169.
Translated by S. V. Kislyakov.
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Parfenov, O.G., slupko, M.V. Bernstein widths of embeddings of Lebesgue spaces. J Math Sci 101, 3146–3148 (2000). https://doi.org/10.1007/BF02673739
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DOI: https://doi.org/10.1007/BF02673739