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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2020 Issue 1(42), Pages 81–84 (Mi pfmt700)

MATHEMATICS

The convergence rate of Hermite–Padé approximations of the three exponent system

E. P. Kechko

F. Scorina Gomel State University

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.

UDC: 517.538.52+517.538.53

Received: 13.01.2020



© Steklov Math. Inst. of RAS, 2024