Abstract
In the current article the order of the Kolmogorov n-diameters of compacta, determined by the operatorsLy =p (x)dy/dx +q (x)y, Ly = [−d2/dx2 +q (x) d/dx]r y in L2[0, 1] with a bound on the order of the error is studied and asymptotic formulas for dn as a function of p(x), q(x), and r are derived.
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Translated from Matematicheskie Zametki, Vol. 20, No. 3, pp. 331–340, September, 1976.
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Nasyrova, K. Asymptotic formulas for n-diameters of certain compacta in L2[0, 1]. Mathematical Notes of the Academy of Sciences of the USSR 20, 745–750 (1976). https://doi.org/10.1007/BF01097242
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DOI: https://doi.org/10.1007/BF01097242