Abstract
The Cauchy problem for a nonhomogeneous first-order differential-operator equation of parabolic type in a Hilbert space is considered. Polynomial approximations and estimates of their convergence are obtained which depend on the character of the right-hand side and the initial conditions.
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Literature cited
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, No. 3, pp. 427–429, March, 1991.
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Ismailov, Z.I. Polynomial approximation to the solution of the Cauchy problem. Ukr Math J 43, 392–394 (1991). https://doi.org/10.1007/BF01670083
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DOI: https://doi.org/10.1007/BF01670083