Abstract:
The paper deals with asymptotic properties of diagonal quadratic Hermite–Padé approximants of type I for exponential system $\{e^{\lambda_jz}\}_{j=0}^2$ with arbitrary real $\lambda_0$, $\lambda_1$, $\lambda_2$. The proved theorems complement the known results of P. Borwein, F. Wielonsky.
Keywords:Hermite–Padé approximants of type I, quadratic and Hermite–Padé approximants, asymptotic equality, saddle-point method.
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