References
R. Oinarov, J. London Math. Soc. (2) 48 (1), 103 (1993).
V. D. Stepanov and E. P. Ushakova, in Tr. Mat. Inst. Steklova, Vol. 232: Function Spaces, Harmonic Analysis, Differential Equations (Maik, Moscow, 2001), pp. 298-317 [Proc. Steklov Inst. Math. 232, 290-309 (2001)].
R. Oinarov, Izv. Ross. Akad. Nauk Ser. Mat. 78 (4), 207 (2014) [Izv. Math. 78 (4), 863 (2014)].
V. D. Stepanov and E. P. Ushakova, Mat. Zametki 105 (1), 108 (2019) [Math. Notes 105 (1), 91 (2019)].
E. N. Lomakina and V. D. Stepanov, Mat. Trudy 9 (1), 52 (2006) [Siberian Adv. Math. 17 (1), 1 (2007)].
D. E. Edmunds and J. Lang, Math. Nachr. 297 (7), 727 (2006).
V. N. Konovalov and D. Leviatan, Anal. Math. 28 (4), 251 (2002).
J. Lang, J. Approx. Theory 121 (1), 61 (2003).
M. A. Lifshits and W. Linde, Approximation and Entropy Numbers of Volterra Operators with Applica tion to Brownian Motion, in Mem. Amer. Math. Soc. (Amer. Math. Soc., Providence, RI, 2002), Vol. 157, No. 745.
H. Triebel, Interpolation Theory, Function Spaces, Differential Operators (Berlin: Birkhäuser, 1977; Mir, Moscow, 1980).
I. V. Boikov, Zh. Vychisl. Mat. i Mat. Fiz. 38 (1), 25 (1998) [Comput. Math. and Math. Phys. 38 (1), 21 (1998)].
K. Mynbaev and M. Otelbaev, Weighted Function Spaces and Spectrum of Differential Operators (Nauka, Moscow, 1988) [in Russian].
V. M. Tikhomirov, Analysis - 2, in Itogi Nauki Tekh., Ser. Current Problems in Mathematics. Funda mental Directions (VINITI, Moscow, 1987), Vol. 14, pp. 103–260 [in Russian].
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This work was supported by the Russian Foundation for Basic Research under grant 19-01-00332.
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Vasil’eva, A.A. Kolmogorov Widths of Weighted Sobolev Classes on an Interval with Conditions on the Zeroth and First Derivatives. Math Notes 107, 522–524 (2020). https://doi.org/10.1134/S0001434620030165
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DOI: https://doi.org/10.1134/S0001434620030165