Abstract:
The convergence rate of type II Hermite–Padé approximants for the system $\{e^{\lambda_jz}\}_{j=1}^3$ is found. The theorems proved in the paper complement the results obtained earlier by O. Perron, D. Braess, A.I. Aptekarev, A.P. Starovoitov and other authors.
Keywords:type II Hermite–Padé approximations, system of exponential functions, asymptotic equalities, Hermite integrals.