On interpolation approximation of differentiable operators in a Hilbert space
In a Hilbert space, we construct an interpolation approximation of the Taylor polynomial for differentiable operators. By using this approximation, we obtain estimates of accuracy for analytic operators that strengthen previously known results and for operators containing finitely many Fréchet derivatives.
English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 4, pp 630-639.
Citation Example: Khlobystov V. V., Popovicheva T. N. On interpolation approximation of differentiable operators in a Hilbert space // Ukr. Mat. Zh. - 2006. - 58, № 4. - pp. 554–563.